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2016 | OriginalPaper | Chapter

Chrono: An Open Source Multi-physics Dynamics Engine

Authors : Alessandro Tasora, Radu Serban, Hammad Mazhar, Arman Pazouki, Daniel Melanz, Jonathan Fleischmann, Michael Taylor, Hiroyuki Sugiyama, Dan Negrut

Published in: High Performance Computing in Science and Engineering

Publisher: Springer International Publishing

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Abstract

We provide an overview of a multi-physics dynamics engine called Chrono. Its forte is the handling of complex and large dynamic systems containing millions of rigid bodies that interact through frictional contact. Chrono has been recently augmented to support the modeling of fluid-solid interaction (FSI) problems and linear and nonlinear finite element analysis (FEA). We discuss Chrono’s software layout/design and outline some of the modeling and numerical solution techniques at the cornerstone of this dynamics engine. We briefly report on some validation studies that gauge the predictive attribute of the software solution. Chrono is released as open source under a permissive BSD3 license and available for download on GitHub.

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Literature
1.
go back to reference The JSON data interchange format. Technical report ECMA-404, ECMA International (2013) The JSON data interchange format. Technical report ECMA-404, ECMA International (2013)
2.
go back to reference Acary, V., Brogliato, B.: Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics, vol. 35. Springer Science & Business Media, Heidelberg (2008)MATH Acary, V., Brogliato, B.: Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics, vol. 35. Springer Science & Business Media, Heidelberg (2008)MATH
3.
go back to reference Adami, S., Hu, X., Adams, N.: A generalized wall boundary condition for smoothed particle hydrodynamics. J. Comput. Phys. 231, 7057–7075 (2012)MathSciNetCrossRef Adami, S., Hu, X., Adams, N.: A generalized wall boundary condition for smoothed particle hydrodynamics. J. Comput. Phys. 231, 7057–7075 (2012)MathSciNetCrossRef
4.
go back to reference Andelfinger, U., Ramm, E.: EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Int. J. Numer. Meth. Eng. 36, 1311–1337 (1993)CrossRefMATH Andelfinger, U., Ramm, E.: EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Int. J. Numer. Meth. Eng. 36, 1311–1337 (1993)CrossRefMATH
5.
go back to reference Anitescu, M., Cremer, J.F., Potra, F.A.: Formulating 3D contact dynamics problems. Mech. Struct. Mach. 24(4), 405–437 (1996)MathSciNetCrossRef Anitescu, M., Cremer, J.F., Potra, F.A.: Formulating 3D contact dynamics problems. Mech. Struct. Mach. 24(4), 405–437 (1996)MathSciNetCrossRef
6.
go back to reference Anitescu, M., Tasora, A.: An iterative approach for cone complementarity problems for nonsmooth dynamics. Comput. Optim. Appl. 47, 207–235 (2010)MathSciNetCrossRefMATH Anitescu, M., Tasora, A.: An iterative approach for cone complementarity problems for nonsmooth dynamics. Comput. Optim. Appl. 47, 207–235 (2010)MathSciNetCrossRefMATH
7.
go back to reference Bardet, J.-P.: Experimental Soil Mechanics. Prentice Hall, Englewood Cliffs (1997) Bardet, J.-P.: Experimental Soil Mechanics. Prentice Hall, Englewood Cliffs (1997)
8.
go back to reference Basa, M., Quinlan, N., Lastiwka, M.: Robustness and accuracy of SPH formulations for viscous flow. Int. J. Numer. Meth. Fluids 60, 1127–1148 (2009)MathSciNetCrossRefMATH Basa, M., Quinlan, N., Lastiwka, M.: Robustness and accuracy of SPH formulations for viscous flow. Int. J. Numer. Meth. Fluids 60, 1127–1148 (2009)MathSciNetCrossRefMATH
9.
go back to reference Bathe, K.-J., Dvorkin, E.N.: A four-node plate bending element based on mindlin/reissner plate theory and a mixed interpolation. Int. J. Numer. Meth. Eng. 21, 367–383 (1985)CrossRefMATH Bathe, K.-J., Dvorkin, E.N.: A four-node plate bending element based on mindlin/reissner plate theory and a mixed interpolation. Int. J. Numer. Meth. Eng. 21, 367–383 (1985)CrossRefMATH
10.
go back to reference Bauchau, O.A.: DYMORE user’s manual. Georgia Institute of Technology, Atlanta (2007) Bauchau, O.A.: DYMORE user’s manual. Georgia Institute of Technology, Atlanta (2007)
11.
go back to reference Betsch, P., Stein, E.: An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element. Commun. Numer. Methods Eng. 11, 899–909 (1995)CrossRefMATH Betsch, P., Stein, E.: An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element. Commun. Numer. Methods Eng. 11, 899–909 (1995)CrossRefMATH
13.
go back to reference Colagrossi, A., Landrini, M.: Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J. Comput. Phys. 191, 448–475 (2003)CrossRefMATH Colagrossi, A., Landrini, M.: Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J. Comput. Phys. 191, 448–475 (2003)CrossRefMATH
14.
go back to reference Crisfield, M.: A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements. Comput. Methods Appl. Mech. Eng. 81, 131–150 (1990)CrossRefMATH Crisfield, M.: A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements. Comput. Methods Appl. Mech. Eng. 81, 131–150 (1990)CrossRefMATH
15.
go back to reference Crisfield, M.A., Galvanetto, U., Jelenic, G.: Dynamics of 3-D co-rotational beams. Comput. Mech. 20, 507–519 (1997)CrossRefMATH Crisfield, M.A., Galvanetto, U., Jelenic, G.: Dynamics of 3-D co-rotational beams. Comput. Mech. 20, 507–519 (1997)CrossRefMATH
16.
go back to reference Dmitrochenko, O., Matikainen, M., Mikkola, A.: The simplest 3-and4-noded fully-parameterized ANCF plate elements. In: ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, pp. 317–322 (2012) Dmitrochenko, O., Matikainen, M., Mikkola, A.: The simplest 3-and4-noded fully-parameterized ANCF plate elements. In: ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, pp. 317–322 (2012)
17.
go back to reference Dmitrochenko, O.N., Pogorelov, D.Y.: Generalization of plate finite elements for absolute nodal coordinate formulation. Multibody Sys.Dyn. 10, 17–43 (2003)CrossRefMATH Dmitrochenko, O.N., Pogorelov, D.Y.: Generalization of plate finite elements for absolute nodal coordinate formulation. Multibody Sys.Dyn. 10, 17–43 (2003)CrossRefMATH
18.
go back to reference Dowell, E.H., Traybar, J.J.: An experimental study of the nonlinear stiffness of a rotor blade undergoing flap, lag, and twist deformations, Aerospace and Mechanical Science Report 1194, Princeton University, January 1975 Dowell, E.H., Traybar, J.J.: An experimental study of the nonlinear stiffness of a rotor blade undergoing flap, lag, and twist deformations, Aerospace and Mechanical Science Report 1194, Princeton University, January 1975
19.
go back to reference Dowell, E.H., Traybar, J.J.: An experimental study of the nonlinear stiffness of a rotor blade undergoing flap, lag, and twist deformations, Aerospace and Mechanical Science Report 1257, Princeton University, December 1975 Dowell, E.H., Traybar, J.J.: An experimental study of the nonlinear stiffness of a rotor blade undergoing flap, lag, and twist deformations, Aerospace and Mechanical Science Report 1257, Princeton University, December 1975
21.
go back to reference Dufva, K., Shabana, A.: Analysis of thin plate structures using the absolute nodal coordinate formulation. Proc. Inst. Mech. Eng. Part K: J. Multi-body Dyn. 219, 345–355 (2005)CrossRef Dufva, K., Shabana, A.: Analysis of thin plate structures using the absolute nodal coordinate formulation. Proc. Inst. Mech. Eng. Part K: J. Multi-body Dyn. 219, 345–355 (2005)CrossRef
22.
go back to reference Felippa, C., Haugen, B.: A unified formulation of small-strain corotational finite elements: I. theory. Comput. Methods Appl. Mech. Eng. 194, 2285–2335 (2005). Computational Methods for ShellsCrossRefMATH Felippa, C., Haugen, B.: A unified formulation of small-strain corotational finite elements: I. theory. Comput. Methods Appl. Mech. Eng. 194, 2285–2335 (2005). Computational Methods for ShellsCrossRefMATH
23.
go back to reference Filippov, A.F., Arscott, F.M.: Differential Equations with Discontinuous Righthand Sides: Control Systems, vol. 18. Springer, Heidelberg (1988) Filippov, A.F., Arscott, F.M.: Differential Equations with Discontinuous Righthand Sides: Control Systems, vol. 18. Springer, Heidelberg (1988)
24.
go back to reference Fleischmann, J.: DEM-PM contact model with multi-step tangential contact displacement history. Technical report TR-2015-06, Simulation-Based Engineering Laboratory, University of Wisconsin-Madison (2015) Fleischmann, J.: DEM-PM contact model with multi-step tangential contact displacement history. Technical report TR-2015-06, Simulation-Based Engineering Laboratory, University of Wisconsin-Madison (2015)
25.
go back to reference Fleischmann, J.A., Serban, R., Negrut, D., Jayakumar, P.: On the importance of displacement history in soft-body contact models. ASME J. Comput. Nonlinear Dyn. (2015). doi:10.1115/1.4031197 Fleischmann, J.A., Serban, R., Negrut, D., Jayakumar, P.: On the importance of displacement history in soft-body contact models. ASME J. Comput. Nonlinear Dyn. (2015). doi:10.​1115/​1.​4031197
26.
go back to reference Gerstmayr, J., Shabana, A.: Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Nonlinear Dyn. 45, 109–130 (2006)CrossRefMATH Gerstmayr, J., Shabana, A.: Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Nonlinear Dyn. 45, 109–130 (2006)CrossRefMATH
27.
go back to reference Gerstmayr, J., Sugiyama, H., Mikkola, A.: Review on the absolute nodal coordinate formulation for large deformation analysis of multibody systems. ASME J. Comput. Nonlinear Dyn. 8, 031016-1–031016-12 (2013) Gerstmayr, J., Sugiyama, H., Mikkola, A.: Review on the absolute nodal coordinate formulation for large deformation analysis of multibody systems. ASME J. Comput. Nonlinear Dyn. 8, 031016-1–031016-12 (2013)
29.
go back to reference Gingold, R.A., Monaghan, J.J.: Smoothed particle hydrodynamics-theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181, 375–389 (1977)CrossRefMATH Gingold, R.A., Monaghan, J.J.: Smoothed particle hydrodynamics-theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181, 375–389 (1977)CrossRefMATH
30.
go back to reference Glocker, C., Pfeiffer, F.: An LCP-approach for multibody systems with planar friction. In: Proceedings of the CMIS 92 Contact Mechanics Int. Symposium, Lausanne, Switzerland, pp. 13–20 (2006) Glocker, C., Pfeiffer, F.: An LCP-approach for multibody systems with planar friction. In: Proceedings of the CMIS 92 Contact Mechanics Int. Symposium, Lausanne, Switzerland, pp. 13–20 (2006)
31.
go back to reference Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, Heidelberg (1996)CrossRefMATH Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, Heidelberg (1996)CrossRefMATH
32.
go back to reference Hartl, J., Ooi, J.: Experiments and simulations of direct sheartests: porosity, contact friction and bulk friction. Granular Matter 10, 263–271 (2008)CrossRef Hartl, J., Ooi, J.: Experiments and simulations of direct sheartests: porosity, contact friction and bulk friction. Granular Matter 10, 263–271 (2008)CrossRef
33.
go back to reference Haug, E.J.: Computer-Aided Kinematics and Dynamics of Mechanical Systems Volume-I. Prentice-Hall, Englewood Cliffs (1989) Haug, E.J.: Computer-Aided Kinematics and Dynamics of Mechanical Systems Volume-I. Prentice-Hall, Englewood Cliffs (1989)
35.
go back to reference Hindmarsh, A., Brown, P., Grant, K., Lee, S., Serban, R., Shumaker, D., Woodward, C.: SUNDIALS: suite of nonlinear and differential/algebraic equation solvers. ACM Trans. Math. Softw. (TOMS) 31, 363–396 (2005)MathSciNetCrossRefMATH Hindmarsh, A., Brown, P., Grant, K., Lee, S., Serban, R., Shumaker, D., Woodward, C.: SUNDIALS: suite of nonlinear and differential/algebraic equation solvers. ACM Trans. Math. Softw. (TOMS) 31, 363–396 (2005)MathSciNetCrossRefMATH
36.
go back to reference Hu, W., Tian, Q., Hu, H.: Dynamic simulation of liquid-filled flexible multibody systems via absolute nodal coordinate formulation and SPH method. Nonlinear Dyn. 75, 653–671 (2013)MathSciNetCrossRef Hu, W., Tian, Q., Hu, H.: Dynamic simulation of liquid-filled flexible multibody systems via absolute nodal coordinate formulation and SPH method. Nonlinear Dyn. 75, 653–671 (2013)MathSciNetCrossRef
37.
go back to reference Kaufman, D.M., Pai, D.K.: Geometric numerical integration of inequality constrained. SIAM J. Sci. Comput. Nonsmooth Hamiltonian Syst. 34, A2670–A2703 (2012)MathSciNetCrossRefMATH Kaufman, D.M., Pai, D.K.: Geometric numerical integration of inequality constrained. SIAM J. Sci. Comput. Nonsmooth Hamiltonian Syst. 34, A2670–A2703 (2012)MathSciNetCrossRefMATH
39.
go back to reference Kruggel-Emden, H., Simsek, E., Rickelt, S., Wirtz, S., Scherer, V.: Review and extension of normal force models for the discrete element method. Powder Technol. 171, 157–173 (2007)CrossRef Kruggel-Emden, H., Simsek, E., Rickelt, S., Wirtz, S., Scherer, V.: Review and extension of normal force models for the discrete element method. Powder Technol. 171, 157–173 (2007)CrossRef
40.
go back to reference Kruggel-Emden, H., Wirtz, S., Scherer, V.: A study of tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior. Chem. Eng. Sci. 63, 1523–1541 (2008)CrossRef Kruggel-Emden, H., Wirtz, S., Scherer, V.: A study of tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior. Chem. Eng. Sci. 63, 1523–1541 (2008)CrossRef
41.
go back to reference Lee, E., Moulinec, C., Xu, R., Violeau, D., Laurence, D., Stansby, P.: Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method. J. Comput. Phys. 227, 8417–8436 (2008)MathSciNetCrossRefMATH Lee, E., Moulinec, C., Xu, R., Violeau, D., Laurence, D., Stansby, P.: Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method. J. Comput. Phys. 227, 8417–8436 (2008)MathSciNetCrossRefMATH
42.
go back to reference Lucy, L.B.: A numerical approach to the testing of the fission hypothesis. Astron. J. 82, 1013–1024 (1977)CrossRef Lucy, L.B.: A numerical approach to the testing of the fission hypothesis. Astron. J. 82, 1013–1024 (1977)CrossRef
43.
go back to reference Machado, M., Moreira, P., Flores, P., Lankarani, H.M.: Compliant contact force models in multibody dynamics: evolution of the Hertz contact theory. Mech. Mach. Theor. 53, 99–121 (2012)CrossRef Machado, M., Moreira, P., Flores, P., Lankarani, H.M.: Compliant contact force models in multibody dynamics: evolution of the Hertz contact theory. Mech. Mach. Theor. 53, 99–121 (2012)CrossRef
44.
go back to reference Madsen, J.: Validation of a single contact point tire model based on the transient pacejka model in the open-source dynamics software chrono. Technical report, University of Wisconsin - Madison Simulation Based Engineering Lab (2014) Madsen, J.: Validation of a single contact point tire model based on the transient pacejka model in the open-source dynamics software chrono. Technical report, University of Wisconsin - Madison Simulation Based Engineering Lab (2014)
45.
go back to reference Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Prentice Hall, Englewood Cliffs (1969)MATH Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Prentice Hall, Englewood Cliffs (1969)MATH
46.
go back to reference Masarati, P., Morandini, M., Quaranta, G., Mantegazza, P.: Computational aspects and recent improvements in the open-source multibody analysis software MBDyn. In: Multibody Dynamics, pp. 21–24 (2005) Masarati, P., Morandini, M., Quaranta, G., Mantegazza, P.: Computational aspects and recent improvements in the open-source multibody analysis software MBDyn. In: Multibody Dynamics, pp. 21–24 (2005)
47.
go back to reference Mazhar, H., Bollmann, J., Forti, E., Praeger, A., Osswald, T., Negrut, D.: Studying the effect of powder geometry on the selective laser sintering process. In: Society of Plastics Engineers (SPE) ANTEC (2014) Mazhar, H., Bollmann, J., Forti, E., Praeger, A., Osswald, T., Negrut, D.: Studying the effect of powder geometry on the selective laser sintering process. In: Society of Plastics Engineers (SPE) ANTEC (2014)
48.
go back to reference Mazhar, H., Heyn, T., Pazouki, A., Melanz, D., Seidl, A., Bartholomew, A., Tasora, A., Negrut, D.: Chrono: a parallel multi-physics library for rigid-body, flexible-body, and fluid dynamics. Mech. Sci. 4, 49–64 (2013)CrossRef Mazhar, H., Heyn, T., Pazouki, A., Melanz, D., Seidl, A., Bartholomew, A., Tasora, A., Negrut, D.: Chrono: a parallel multi-physics library for rigid-body, flexible-body, and fluid dynamics. Mech. Sci. 4, 49–64 (2013)CrossRef
49.
go back to reference Mazhar, H., Heyn, T., Tasora, A., Negrut, D.: Using Nesterov’s method to accelerate multibody dynamics with friction and contact. ACM Trans. Graph. 34, 32 (2015)CrossRefMATH Mazhar, H., Heyn, T., Tasora, A., Negrut, D.: Using Nesterov’s method to accelerate multibody dynamics with friction and contact. ACM Trans. Graph. 34, 32 (2015)CrossRefMATH
50.
go back to reference Mazhar, H., Osswald, T., Negrut, D.: On the use of computational multibody dynamics for increasing throughput in 3D printing. Addit. Manuf. (2016, accepted) Mazhar, H., Osswald, T., Negrut, D.: On the use of computational multibody dynamics for increasing throughput in 3D printing. Addit. Manuf. (2016, accepted)
51.
go back to reference Melanz, D.: On the validation and applications of a parallel flexible multi-body dynamics implementation. M.S. thesis, University of Wisconsin-Madison (2012) Melanz, D.: On the validation and applications of a parallel flexible multi-body dynamics implementation. M.S. thesis, University of Wisconsin-Madison (2012)
52.
go back to reference Melanz, D., Tupy, M., Smith, B., Turner, K., Negrut, D.: On the validation of a differential variational inequality approach for the dynamics of granular material-DETC2010-28804. In: Fukuda, S., Michopoulos, J.G. (eds.) Proceedings to the 30th Computers and Information in Engineering Conference, ASME International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE) (2010) Melanz, D., Tupy, M., Smith, B., Turner, K., Negrut, D.: On the validation of a differential variational inequality approach for the dynamics of granular material-DETC2010-28804. In: Fukuda, S., Michopoulos, J.G. (eds.) Proceedings to the 30th Computers and Information in Engineering Conference, ASME International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE) (2010)
53.
go back to reference Mikkola, A.: Lugre tire model for HMMWV. Technical report TR-2014-15, Simulation-Based Engineering Laboratory, University of Wisconsin-Madison (2014) Mikkola, A.: Lugre tire model for HMMWV. Technical report TR-2014-15, Simulation-Based Engineering Laboratory, University of Wisconsin-Madison (2014)
54.
go back to reference Monaghan, J.J.: On the problem of penetration in particle methods. J. Comput. Phys. 82, 1–15 (1989)CrossRefMATH Monaghan, J.J.: On the problem of penetration in particle methods. J. Comput. Phys. 82, 1–15 (1989)CrossRefMATH
56.
go back to reference Morris, J.P., Fox, P.J., Zhu, Y.: Modeling low Reynolds number incompressible flows using SPH. J. Comput. Phys. 136, 214–226 (1997)CrossRefMATH Morris, J.P., Fox, P.J., Zhu, Y.: Modeling low Reynolds number incompressible flows using SPH. J. Comput. Phys. 136, 214–226 (1997)CrossRefMATH
58.
go back to reference Negrut, D., Heyn, T., Seidl, A., Melanz, D., Gorsich, D., Lamb, D.: Enabling computational dynamics in distributed computing environments using a heterogeneous computing template. In: NDIA Ground Vehicle Systems Engineering and Technology Symposium (2011) Negrut, D., Heyn, T., Seidl, A., Melanz, D., Gorsich, D., Lamb, D.: Enabling computational dynamics in distributed computing environments using a heterogeneous computing template. In: NDIA Ground Vehicle Systems Engineering and Technology Symposium (2011)
59.
go back to reference Negrut, D., Rampalli, R., Ottarsson, G., Sajdak, A.: On an implementation of the Hilber-Hughes-Taylor method in the context of index 3 differential-algebraic equations of multibody dynamics (detc2005-85096). J. Comput. Nonlinear Dyn 2, 73–85 (2007)CrossRef Negrut, D., Rampalli, R., Ottarsson, G., Sajdak, A.: On an implementation of the Hilber-Hughes-Taylor method in the context of index 3 differential-algebraic equations of multibody dynamics (detc2005-85096). J. Comput. Nonlinear Dyn 2, 73–85 (2007)CrossRef
60.
go back to reference Nemat-Nasser, S.: Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic Materials. Cambridge University Press, Cambridge (2004)MATH Nemat-Nasser, S.: Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic Materials. Cambridge University Press, Cambridge (2004)MATH
63.
go back to reference O’Sullivan, C., Bray, J.D.: Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme. Eng. Comput. 21, 278–303 (2004)CrossRefMATH O’Sullivan, C., Bray, J.D.: Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme. Eng. Comput. 21, 278–303 (2004)CrossRefMATH
64.
go back to reference Pazouki, A., Negrut, D.: Numerical investigation of microfluidic sorting of microtissues. Comput. Math. Appl. (2015, accepted) Pazouki, A., Negrut, D.: Numerical investigation of microfluidic sorting of microtissues. Comput. Math. Appl. (2015, accepted)
65.
go back to reference Pazouki, A., Negrut, D.: A numerical study of the effect of particle properties on the radial distribution of suspensions in pipe flow. Comput. Fluids 108, 1–12 (2015)MathSciNetCrossRef Pazouki, A., Negrut, D.: A numerical study of the effect of particle properties on the radial distribution of suspensions in pipe flow. Comput. Fluids 108, 1–12 (2015)MathSciNetCrossRef
66.
go back to reference Pazouki, A., Serban, R., Negrut, D.: A high performance computing approach to the simulation of fluid-solid interaction problems with rigid and flexible components. Arch. Mech. Eng. 61, 227–251 (2014)CrossRef Pazouki, A., Serban, R., Negrut, D.: A high performance computing approach to the simulation of fluid-solid interaction problems with rigid and flexible components. Arch. Mech. Eng. 61, 227–251 (2014)CrossRef
67.
go back to reference Pazouki, A., Serban, R., Negrut, D.: A Lagrangian-Lagrangian framework for the simulation of rigid and deformable bodies in fluid. In: Terze, Z. (ed.) Multibody Dynamics. Computaional Methods in Applied Sciences, pp. 33–52. Springer International Publishing, Heidelberg (2014) Pazouki, A., Serban, R., Negrut, D.: A Lagrangian-Lagrangian framework for the simulation of rigid and deformable bodies in fluid. In: Terze, Z. (ed.) Multibody Dynamics. Computaional Methods in Applied Sciences, pp. 33–52. Springer International Publishing, Heidelberg (2014)
68.
go back to reference Pazouki, A., Song, B., Negrut, D.: Boundary condition enforcing methods for smoothed particle hydrodynamics. Technical report: TR-2015-08 (2015) Pazouki, A., Song, B., Negrut, D.: Boundary condition enforcing methods for smoothed particle hydrodynamics. Technical report: TR-2015-08 (2015)
69.
go back to reference Rankin, C., Nour-Omid, B.: The use of projectors to improve finite element performance. Comput. Struct. 30, 257–267 (1988)CrossRefMATH Rankin, C., Nour-Omid, B.: The use of projectors to improve finite element performance. Comput. Struct. 30, 257–267 (1988)CrossRefMATH
72.
go back to reference Schwertassek, R., Wallrapp, O., Shabana, A.A.: Flexible multibody simulation and choice of shape functions. Nonlinear Dyn. 20, 361–380 (1999)MathSciNetCrossRefMATH Schwertassek, R., Wallrapp, O., Shabana, A.A.: Flexible multibody simulation and choice of shape functions. Nonlinear Dyn. 20, 361–380 (1999)MathSciNetCrossRefMATH
73.
go back to reference Serban, R., Mazhar, H., Melanz, D., Jayakumar, P., Negrut, D.: A comparative study of penalty and complementarity methods for handling frictional contact in large multibody dynamics problems. In: 17th U.S. National Congress on Theoretical and Applied Mechanics (USNC-TAM) (2014) Serban, R., Mazhar, H., Melanz, D., Jayakumar, P., Negrut, D.: A comparative study of penalty and complementarity methods for handling frictional contact in large multibody dynamics problems. In: 17th U.S. National Congress on Theoretical and Applied Mechanics (USNC-TAM) (2014)
74.
go back to reference Shabana, A.A.: Dynamics of Multibody Systems, 4th edn. Cambridge University Press, Cambridge (2013)CrossRefMATH Shabana, A.A.: Dynamics of Multibody Systems, 4th edn. Cambridge University Press, Cambridge (2013)CrossRefMATH
76.
go back to reference Silbert, L.E., Ertaş, D., Grest, G.S., Halsey, T.C., Levine, D., Plimpton, S.J.: Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 051302 (2001)CrossRef Silbert, L.E., Ertaş, D., Grest, G.S., Halsey, T.C., Levine, D., Plimpton, S.J.: Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 051302 (2001)CrossRef
77.
go back to reference Simo, J.C., Rifai, M.: A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Numer. Meth. Eng. 29, 1595–1638 (1990)MathSciNetCrossRefMATH Simo, J.C., Rifai, M.: A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Numer. Meth. Eng. 29, 1595–1638 (1990)MathSciNetCrossRefMATH
80.
go back to reference Sin, F.S., Schroeder, D., Barbič, J.: Vega: non-linear FEM deformable object simulator. Comput. Graph. Forum 32, 36–48 (2013). Wiley Online LibraryCrossRef Sin, F.S., Schroeder, D., Barbič, J.: Vega: non-linear FEM deformable object simulator. Comput. Graph. Forum 32, 36–48 (2013). Wiley Online LibraryCrossRef
82.
go back to reference Stewart, D.E., Trinkle, J.C.: An implicit time-stepping scheme for rigid-body dynamics with inelastic collisions and Coulomb friction. Int. J. Numer. Meth. Eng. 39, 2673–2691 (1996)MathSciNetCrossRefMATH Stewart, D.E., Trinkle, J.C.: An implicit time-stepping scheme for rigid-body dynamics with inelastic collisions and Coulomb friction. Int. J. Numer. Meth. Eng. 39, 2673–2691 (1996)MathSciNetCrossRefMATH
83.
go back to reference Sugiyama, H., Yamashita, H., Jayakumar, P.: Right on tracks - an integrated tire model for ground vehicle simulation. Tire Technol. Int. 67, 52–55 (2014) Sugiyama, H., Yamashita, H., Jayakumar, P.: Right on tracks - an integrated tire model for ground vehicle simulation. Tire Technol. Int. 67, 52–55 (2014)
84.
go back to reference Sugiyama, H., Yamashita, H., Jayakumar, P.: ANCF tire models for multibody ground vehicle simulation. In: Proceedings of International Tyre Colloquium: Tyre Models for Vehicle Dynamics Analysis, 25–28 June 2015 Sugiyama, H., Yamashita, H., Jayakumar, P.: ANCF tire models for multibody ground vehicle simulation. In: Proceedings of International Tyre Colloquium: Tyre Models for Vehicle Dynamics Analysis, 25–28 June 2015
85.
86.
87.
go back to reference Tasora, A., Anitescu, M., Negrini, S., Negrut, D.: A compliant visco-plastic particle contact model based on differential variational inequalities. Int. J. Non-Linear Mech. 53, 2–12 (2013)CrossRef Tasora, A., Anitescu, M., Negrini, S., Negrut, D.: A compliant visco-plastic particle contact model based on differential variational inequalities. Int. J. Non-Linear Mech. 53, 2–12 (2013)CrossRef
89.
go back to reference Trinkle, J., Pang, J.-S., Sudarsky, S., Lo, G.: On dynamic multi-rigid-body contact problems with Coulomb friction. Zeitschrift fur angewandte Mathematik und Mechanik 77, 267–279 (1997)MathSciNetCrossRefMATH Trinkle, J., Pang, J.-S., Sudarsky, S., Lo, G.: On dynamic multi-rigid-body contact problems with Coulomb friction. Zeitschrift fur angewandte Mathematik und Mechanik 77, 267–279 (1997)MathSciNetCrossRefMATH
90.
go back to reference Uehara, J.S., Ambroso, M.A., Ojha, R.P., Durian, D.J.: Erratum: low-speed impact craters in loose granular media [phys. rev. lett.prltao0031-9007 90, 194301 (2003)]. Phys. Rev. Lett. 91, 149902 (2003)CrossRef Uehara, J.S., Ambroso, M.A., Ojha, R.P., Durian, D.J.: Erratum: low-speed impact craters in loose granular media [phys. rev. lett.prltao0031-9007 90, 194301 (2003)]. Phys. Rev. Lett. 91, 149902 (2003)CrossRef
91.
go back to reference Yamashita, H., Matsutani, Y., Sugiyama, H.: Longitudinal tire dynamics model for transient braking analysis: ANCF-LuGre tire model. J. Comput. Nonlinear Dyn. 10, 031003 (2015)CrossRef Yamashita, H., Matsutani, Y., Sugiyama, H.: Longitudinal tire dynamics model for transient braking analysis: ANCF-LuGre tire model. J. Comput. Nonlinear Dyn. 10, 031003 (2015)CrossRef
92.
go back to reference Yamashita, H., Valkeapää, A.I., Jayakumar, P., Sugiyama, H.: Continuum mechanics based bilinear shear deformable shell element using absolute nodal coordinate formulation. J. Comput. Nonlinear Dyn. 10, 051012 (2015)CrossRef Yamashita, H., Valkeapää, A.I., Jayakumar, P., Sugiyama, H.: Continuum mechanics based bilinear shear deformable shell element using absolute nodal coordinate formulation. J. Comput. Nonlinear Dyn. 10, 051012 (2015)CrossRef
93.
go back to reference Zhang, H.P., Makse, H.A.: Jamming transition in emulsions and granular materials. Phys. Rev. E 72, 011301 (2005)CrossRef Zhang, H.P., Makse, H.A.: Jamming transition in emulsions and granular materials. Phys. Rev. E 72, 011301 (2005)CrossRef
Metadata
Title
Chrono: An Open Source Multi-physics Dynamics Engine
Authors
Alessandro Tasora
Radu Serban
Hammad Mazhar
Arman Pazouki
Daniel Melanz
Jonathan Fleischmann
Michael Taylor
Hiroyuki Sugiyama
Dan Negrut
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-40361-8_2

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