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Continuum Mechanics and Thermodynamics
Erschienen in: Continuum Mechanics and Thermodynamics 3/2023

22.06.2021 | Original Article

Evaluation of stress intensity factors under thermal effect employing domain integral method and ordinary state based peridynamic theory

verfasst von: Hanlin Wang, Satoyuki Tanaka, Selda Oterkus, Erkan Oterkus

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 3/2023

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Abstract

In this article, several thermoelastic benchmark cases are studied within the framework of ordinary state based peridynamic theory (OSPD). By using OSPD, the limitations of geometrical discontinuity in fracture analysis can be overcome. Meanwhile, double nodes can also be avoided during crack definition. A domain integral method with thermal effect is applied in calculating the thermal stress intensity factors (TSIFs). Meanwhile, peridynamic differential operators are utilized to rewrite the spatial derivatives in the domain integral. Numerical investigations of TSIFs in the single and mixed-mode crack scenarios are provided respectively, and verified by the reference solutions. Good agreements between OSPD and the reference solutions show high performance and capability of the proposed method in thermoelastic fracture analysis.
Vorheriger Artikel Civil engineering applications of the Asymptotic Expansion Load Decomposition beam model: an overview
Nächster Artikel Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions

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Literatur
1.
Irwin, G.R.: Analysis of stress and strains near the end of a crack traversing a plate. ASME J. Appl. Mech. 24(3), 361–364 (1957)ADS
2.
Rice, J.R.: A path independent integral and the approximate analysis of strain concentration by notches and cracks. ASME J. Appl. Mech. 35, 379–386 (1968)ADS
3.
Chen, Y.M.: Numerical computation of dynamic stress intensity factors by a Lagrangian finite-difference method (the HEMP code). Eng. Fract. Mech. 7(4), 653–660 (1975)
4.
Stern, M., Becker, E.B., Dunham, R.S.: A contour integral computation of mixed-mode stress intensity factors. Int. J. Fract. 12(3), 359–368 (1976)
5.
Yau, J.F., Wang, S.S., Corten, H.T.: A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. ASME J. Appl. Mech. 47, 335–341 (1980)ADSMATH
6.
Yu, H., Wu, L., Guo, L., Du, S., He, Q.: Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method. Int. J. Solids Struct. 46(20), 3710–3724 (1980)MATH
7.
Song, S.H., Paulino, G.H.: Dynamic stress intensity factors for homogeneous and smoothly heterogeneous materials using the interaction integral method. Int. J. Solids Struct. 43(12), 4830–4866 (1980)MATH
8.
Kim, J.H., Paulino, G.H.: Consistent formulations of the interaction integral method for fracture of functionally graded materials. ASME J. Appl. Mech. 72(3), 351–364 (2005)ADSMATH
9.
Zamani, A., Eslami, M.R.: Implementation of the extended finite element method for dynamic thermoelastic fracture initiation. Int. J. Solids Struct. 47(6), 1392–1404 (2010)MATH
10.
Duflot, M.: The extended finite element method in thermoelastic fracture mechanics. Int. J. Numer. Methods Eng. 74(5), 827–847 (2008)MathSciNetMATH
11.
Nguyen, M.N., Bui, T.Q., Nguyen, N.T., Truong, T.T.: Simulation of dynamic and static thermoelastic fracture problems by extended nodal gradient finite elements. Int. J. Mech. Sci. 134, 370–386 (2017)
12.
Hosseini-Tehrani, P., Hosseini-Godarzi, A.R., Tavangar, M.: Boundary element analysis of stress intensity factor K\(_{\rm I}\) in some two-dimensional dynamic thermoelastic problems. Eng. Anal. Bound. Elem. 29(3), 232–240 (2005)MATH
13.
Reddy, J.N.: An Introduction to Continuum Mechanics. Cambridge University Press, Cambridge (2013)
14.
Hellan, K.: Introduction to Fracture Mechanics. McGraw-Hill, New York (1984)
15.
Hillerborg, A., Modéer, M., Petersson, P.E.: Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem. Concr. Res. 6(6), 773–781 (1976)
16.
Xu, X.P., Needleman, A.: Numerical simulations of fast crack growth in brittle solids. J. Mech. Phys. Solids 42(5), 1397–1434 (1994)ADSMATH
17.
Nguyen, T.T., Yvonnet, J., Bornert, M., Chateau, C., Sab, K., Romani, R., Le Roy, R.: On the choice of parameters in the phase field method for simulating crack initiation with experimental validation. Int. J. Fract. 197(2), 213–226 (2016)
18.
Gomez, H., van der Zee, K.G.: Computational Phase-field Modeling. Encyclopedia of Computational Mechanics, 2nd edn, pp. 1–35 (2018)
19.
Tanaka, S., Suzuki, H., Sadamoto, S., Sannomaru, S., Yu, T., Bui, T.Q.: J-integral evaluation for 2D mixed-mode crack problems employing a meshfree stabilized conforming nodal integration method. Comput. Mech. 58, 185–198 (2016)MathSciNetMATH
20.
Tanaka, S., Suzuki, H., Sadamoto, S., Imachi, M., Bui, T.Q.: Analysis of cracked shear deformable plates by an effective meshfree plate formulation. Eng. Fract. Mech. 144, 142–157 (2015)
21.
Tanaka, S., Suzuki, H., Sadamoto, S., Okazawa, S., Yu, T.T., Bui, T.Q.: Accurate evaluation of mixed-mode intensity factors of cracked shear-deformable plates by an enriched meshfree Galerkin formulation. Arch. Appl. Mech. 87(2), 279–298 (2017)ADS
22.
Pant, M., Singh, I.V., Mishra, B.K.: Numerical simulation of thermo-elastic fracture problems using element free Galerkin method. Int. J. Mech. Sci. 52(8), 1745–1755 (2010)
23.
Dell’Isola, F., Andreaus, U., Placidi, L.: At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola. Math. Mech. Solids 20(4), 887–928 (2015)MathSciNetMATH
24.
Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48(1), 175–209 (2000)MathSciNetADSMATH
25.
Imachi, M., Tanaka, S., Bui, T.Q.: Mixed-mode dynamic stress intensity factors evaluation using ordinary state-based peridynamics. Theor. Appl. Fract. Mech. 93, 97–104 (2018)
26.
Dai, M.J., Tanaka, S., Oterkus, S., Oterkus, E.: Mixed-mode stress intensity factors evaluation of flat shells under in-plane loading employing ordinary state-based peridynamics. Theor. Appl. Fract. Mech. 102841 (2020)
27.
Dai, M.J., Tanaka, S., Bui, T.Q., Oterkus, S., Oterkus, E.: Fracture parameter analysis of flat shells under out-of-plane loading using ordinary state-based peridynamics. Eng. Fract. Mech. 244, 107560 (2021)
28.
Oterkus, S., Madenci, E., Agwai, A.: Fully coupled peridynamic thermomechanics. J. Mech. Phys. Solids 64, 1–23 (2014)MathSciNetADSMATH
29.
Madenci, E., Oterkus, S.: Ordinary state-based peridynamics for thermoviscoelastic deformation. Eng. Fract. Mech. 175, 31–45 (2017)
30.
Nguyen, C.T., Oterkus, S.: Peridynamics for the thermomechanical behavior of shell structures. Eng. Fract. Mech. 219, 106623 (2019)
31.
Ren, H., Zhuang, X., Rabczuk, T.: Dual-horizon peridynamics: a stable solution to varying horizons. Comput. Methods Appl. Mech. Eng. 318, 762–782 (2017)MathSciNetADSMATH
32.
Dorduncu, M., Borut, A., Madenci, E.: Ordinary-state based peridynamic truss element. In: 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 0465 (2015)
33.
Silling, S.A., Epton, M., Weckner, O., Xu, J., Askari, E.: Peridynamic states and constitutive modeling. J. Elast. 88(2), 151–184 (2007)MathSciNetMATH
34.
Madenci, E., Oterkus, E.: Peridynamic Theory. Peridynamic Theory and Its Applications. Springer, New York (2014)MATH
35.
Solín, P.: Partial Differential Equations and the Finite Element Method. Wiley, New York
36.
Causon, D.M., Mingham, C.G.: Introductory Finite Difference Methods for PDEs. Bookboon (2010)
37.
Coleman, C.J., Tullock, D.L., Phan-Thien, N.: An effective boundary element method for inhomogeneous partial differential equations. Z. Angew. Math. Phys. ZAMP 42(5), 730–745 (1991)MathSciNetMATH
38.
Cho, H.A., Golberg, M.A., Muleshkov, A.S., Li, X.: Trefftz methods for time dependent partial differential equations. CMC Comput. Mater. Continua 1, 1–38 (2004)
39.
Madenci, E., Barut, A., Futch, M.: Peridynamic differential operator and its applications. Comput. Methods Appl. Mech. Eng. 304, 408–451 (2016)MathSciNetADSMATH
40.
Madenci, E., Dorduncu, M., Barut, A., Futch, M.: Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator. Numer. Methods Partial Differ. Equ. 33(5), 1726–1753 (2017)MathSciNetMATH
41.
Madenci, E., Barut, A., Dorduncu, M.: Peridynamic Differential Operator for Numerical Analysis. Springer, Berlin (2019)MATH
42.
Wang, H.: Fracture Analysis in Marine Batteries by Peridynamic Theory. Doctoral dissertation, University of Strathclyde (2018)
43.
Wang, H., Oterkus, E., Oterkus, S.: Three-dimensional peridynamic model for predicting fracture evolution during the lithiation process. Energies 11(6), 1461 (2018)
44.
Wilson, W.K., Yu, I.W.: The use of the J-integral in thermal stress crack problems. Int. J. Fract. 15(4), 377–387 (1979)
45.
Fung, Y.C.: Foundations of Solid Mechanics. Prentice-Hall Inc, New Jersey (1965)
46.
Anderson, T.L.: Fracture Mechanics: Fundamentals and Applications. CRC Press, Boca Raton (2017)MATH
47.
Silling, S.A., Lehoucq, R.B.: Peridynamic theory of solid mechanics. Adv. Appl. Mech. 44, 73–168 (2010)
48.
Narasimhan, T.N.: Fourier’s heat conduction equation: history, influence, and connections. Rev. Geophys. 37(1), 151–172 (1999)ADS
49.
Underwood, P.: Dynamic Relaxation Computational Methods for Transient Analysis, vol. 1, 245–265. Elsevier Science Publishers B.V. (1983)
50.
Kilic, B., Madenci, E.: An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory. Theor. Appl. Fract. Mech. 53(3), 194–204 (2010)
51.
Chen, H., Wang, Q., Liu, G.R., Wang, Y., Sun, J.: Simulation of thermoelastic crack problems using singular edge-based smoothed finite element method. Int. J. Mech. Sci. 115, 123–134 (2016)
52.
Prasad, N.N.V., Aliabadi, M.H., Rooke, D.P.: The dual boundary element method for thermoelastic crack problems. Int. J. Fract. 66(3), 255–272 (1994)ADS
53.
Zhou, Z., Leung, A.Y.T., Xu, X., Luo, X.: Mixed-mode thermal stress intensity factors from the finite element discretized symplectic method. Int. J. Solids Struct. 51(21–22), 3798–3806 (2014)
54.
Murkami, Y.: Stress Intensity Factor Handbook. Pergamon Press, New York (1987)
Metadaten
Titel
Evaluation of stress intensity factors under thermal effect employing domain integral method and ordinary state based peridynamic theory
verfasst von
Hanlin Wang
Satoyuki Tanaka
Selda Oterkus
Erkan Oterkus
Publikationsdatum
22.06.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Continuum Mechanics and Thermodynamics / Ausgabe 3/2023
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-021-01033-z

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