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Erschienen in: Strength of Materials 5/2013

01.09.2013

Numerical Simulation of Dynamic Processes of Elastoplastic Interaction between Three-Dimensional Heterogeneous Bodies on the basis of Semi-Analytical Finite Element Method. Part 1. Computational Relationships of the Semi-Analytical Finite Element Method and Algorithms for the Study of Transient Processes of Dynamic Deformation of Heterogeneous Prismatic Bodies and Bodies of Revolution

verfasst von: V. A. Bazhenov, A. I. Gulyar, I. I. Solodei

Erschienen in: Strength of Materials | Ausgabe 5/2013

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Abstract

On the basis of a semi-analytical finite element method, an effective approach has been developed for studying transient processes of dynamic deformation of three-dimensional heterogeneous bodies of revolution and prismatic bodies of complex shape and structure by the action of time-and space-varying pulsed stressing with allowance for the plastic properties of the material and time-varying contact interaction conditions. New types of finite elements have been created, on the basis of which computational relationships of the semi-analytical finite element method (SAFEM) for problems of dynamics have been constructed. Modified relationships of the Newmark method have been obtained, which have been formulated for the amplitude subsystems of SAFEM. Effective block iteration algorithms for the solution of large systems of nonlinear equations of SAFEM have been developed and realized.

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Literatur
1.
Zurück zum Zitat V. A. Bazhenov, A. I. Gulyar, A. S. Sakharov, and A. G. Topor, Semi-Analytical Finite Element Method in Deformable Body Mechanics [in Russian], Vipol, Kiev (1993). V. A. Bazhenov, A. I. Gulyar, A. S. Sakharov, and A. G. Topor, Semi-Analytical Finite Element Method in Deformable Body Mechanics [in Russian], Vipol, Kiev (1993).
2.
Zurück zum Zitat V. A. Bazhenov, A. I. Gulyar, A. G. Topor, and I. I. Solodei, “Development of SAFEM as applied to problems of statics and dynamics of bodies of revolution under nonaxisymmetric loads,” Prikl. Mekh., 34, No. 1, 31–38 (1998). V. A. Bazhenov, A. I. Gulyar, A. G. Topor, and I. I. Solodei, “Development of SAFEM as applied to problems of statics and dynamics of bodies of revolution under nonaxisymmetric loads,” Prikl. Mekh., 34, No. 1, 31–38 (1998).
3.
Zurück zum Zitat G. D. Gavrilenko and O. A. Trubitsina, Vibration and Stability of Ribbed Shells of Revolution [in Russian], Barviks, Dnepropetrovsk (2008). G. D. Gavrilenko and O. A. Trubitsina, Vibration and Stability of Ribbed Shells of Revolution [in Russian], Barviks, Dnepropetrovsk (2008).
4.
Zurück zum Zitat A. N. Guz’ (Ed.), Mechanics of Composites [in Russian], in 12 volumes, Naukova Dumka, Kiev (1993). A. N. Guz’ (Ed.), Mechanics of Composites [in Russian], in 12 volumes, Naukova Dumka, Kiev (1993).
5.
Zurück zum Zitat P. P. Lepikhin and V. A. Romashchenko, Strength of Thick-Walled Shells of Revolution under Pulsed Loading [in Russian], Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev (2010). P. P. Lepikhin and V. A. Romashchenko, Strength of Thick-Walled Shells of Revolution under Pulsed Loading [in Russian], Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev (2010).
6.
Zurück zum Zitat V. V. Kharchenko, Simulation of Processes of High-Rate Deformation of Materials with Allowance for Viscoplastic Effects [in Russian], LOGOS, Kiev (1999). V. V. Kharchenko, Simulation of Processes of High-Rate Deformation of Materials with Allowance for Viscoplastic Effects [in Russian], LOGOS, Kiev (1999).
7.
Zurück zum Zitat A. Yu. Chirkov, “Application of mixed variational formulations based on the finite element method to the solution of problems on natural vibrations of elastic bodies,” Strength Mater., 40, No. 2, 253–268 (2008).CrossRef A. Yu. Chirkov, “Application of mixed variational formulations based on the finite element method to the solution of problems on natural vibrations of elastic bodies,” Strength Mater., 40, No. 2, 253–268 (2008).CrossRef
8.
Zurück zum Zitat L. M. Kachanov, Fundamentals of the Plasticity Theory [in Russian], Gos. Izd. Tekh.-Teoret. Lit., Moscow (1963). L. M. Kachanov, Fundamentals of the Plasticity Theory [in Russian], Gos. Izd. Tekh.-Teoret. Lit., Moscow (1963).
9.
Zurück zum Zitat B. I. Koval’chuk, A. A. Lebedev, and S. É. Umanskii, Mechanics of Inelastic Deformation of Materials and Structural Members [in Russian], Naukova Dumka, Kiev (1987). B. I. Koval’chuk, A. A. Lebedev, and S. É. Umanskii, Mechanics of Inelastic Deformation of Materials and Structural Members [in Russian], Naukova Dumka, Kiev (1987).
10.
Zurück zum Zitat V. A. Pal’mov, Vibration of Elastoplastic Bodies [in Russian], Nauka, Moscow (1976). V. A. Pal’mov, Vibration of Elastoplastic Bodies [in Russian], Nauka, Moscow (1976).
11.
Zurück zum Zitat Yu. N. Shevchenko and I. V. Prokhorenko, Methods of Shell Design [in Russian], Vol. 3: Theory of Elastoplastic Shells in Nonisothermal Loading Processes, Naukova Dumka, Kiev (1981). Yu. N. Shevchenko and I. V. Prokhorenko, Methods of Shell Design [in Russian], Vol. 3: Theory of Elastoplastic Shells in Nonisothermal Loading Processes, Naukova Dumka, Kiev (1981).
12.
Zurück zum Zitat B. A. Gorlach, Finite Inelastic Strains of Solids under Thermomechanical Actions [in Russian], in 2 parts, Moscow (1985). B. A. Gorlach, Finite Inelastic Strains of Solids under Thermomechanical Actions [in Russian], in 2 parts, Moscow (1985).
13.
Zurück zum Zitat V. M. Segal, Technological Problems of the Plasticity Theory [in Russian], Nauka i Tekhnika, Minsk (1977). V. M. Segal, Technological Problems of the Plasticity Theory [in Russian], Nauka i Tekhnika, Minsk (1977).
14.
Zurück zum Zitat K.-J. Bathe, Finite Element Procedures in Engineering Analysis, Englewood Cliffs (1982). K.-J. Bathe, Finite Element Procedures in Engineering Analysis, Englewood Cliffs (1982).
15.
Zurück zum Zitat O. C. Zienkiewicz, The Finite Element Method in Engineering Science, McGraw-Hill, London (1971). O. C. Zienkiewicz, The Finite Element Method in Engineering Science, McGraw-Hill, London (1971).
16.
Zurück zum Zitat O. C. Zienkiewicz and K. Morgan, Finite Elements and Approximations, Wiley & Sons, London (1983) O. C. Zienkiewicz and K. Morgan, Finite Elements and Approximations, Wiley & Sons, London (1983)
17.
Zurück zum Zitat V. A. Bazhenov, A. I. Gulyar, A. L. Kozak, et al., Numerical Finite Element Simulation of the Fracture of Concrete-Steel Constructions [in Russian], Naukova Dumka, Kiev (1996). V. A. Bazhenov, A. I. Gulyar, A. L. Kozak, et al., Numerical Finite Element Simulation of the Fracture of Concrete-Steel Constructions [in Russian], Naukova Dumka, Kiev (1996).
18.
Zurück zum Zitat V. A. Bazhenov, O. I. Gulyar, S. O. Piskunov, and O. S. Sakharov, Semi-Analytical Finite Element Method in Problems of Fracture of Three-Dimensional Bodies [in Ukrainian], KNUBA, Kiev (2005). V. A. Bazhenov, O. I. Gulyar, S. O. Piskunov, and O. S. Sakharov, Semi-Analytical Finite Element Method in Problems of Fracture of Three-Dimensional Bodies [in Ukrainian], KNUBA, Kiev (2005).
19.
Zurück zum Zitat A. B. Zolotov and P. A. Akimov, Some Analytical Numerical Methods for the Solution of Boundary Problems of Structural Mechanics [in Russian], ASV, Moscow (2004). A. B. Zolotov and P. A. Akimov, Some Analytical Numerical Methods for the Solution of Boundary Problems of Structural Mechanics [in Russian], ASV, Moscow (2004).
20.
Zurück zum Zitat A. B. Zolotov and P. A. Akimov, Practical Methods for the Design of Building Structures. Numerical Analytical Methods [in Russian], ASV, Moscow (2006). A. B. Zolotov and P. A. Akimov, Practical Methods for the Design of Building Structures. Numerical Analytical Methods [in Russian], ASV, Moscow (2006).
21.
Zurück zum Zitat A. B. Zolotov, P. A. Akimov, V. N. Sidorov, and M. L. Mozgaleva, Numerical and Analytical Methods for the Design of Building Structures [in Russian], ASV, Moscow (2009). A. B. Zolotov, P. A. Akimov, V. N. Sidorov, and M. L. Mozgaleva, Numerical and Analytical Methods for the Design of Building Structures [in Russian], ASV, Moscow (2009).
22.
Zurück zum Zitat V. A. Bazhenov, O. I. Gulyar, O. G. Topor, and I. I. Solodei, “SAFEM analysis of the dynamic elastoplastic interaction of heterogeneous bodies,” in: Strength of Materials and Theory of Structures [in Ukrainian], Issue 67, KNUBA, Kiev (2000), pp. 3–17. V. A. Bazhenov, O. I. Gulyar, O. G. Topor, and I. I. Solodei, “SAFEM analysis of the dynamic elastoplastic interaction of heterogeneous bodies,” in: Strength of Materials and Theory of Structures [in Ukrainian], Issue 67, KNUBA, Kiev (2000), pp. 3–17.
23.
Zurück zum Zitat O. I. Gulyar, O. G. Topor, and I. I. Solodei, “Three-dimensional problem of dynamics for elastoplastic heterogeneous bodies of revolution in the semi-analytical finite element method,” in: Strength of Materials and Theory of Structures [in Ukrainian], Issue 66, KNUBA, Kiev (1999), pp. 56–57. O. I. Gulyar, O. G. Topor, and I. I. Solodei, “Three-dimensional problem of dynamics for elastoplastic heterogeneous bodies of revolution in the semi-analytical finite element method,” in: Strength of Materials and Theory of Structures [in Ukrainian], Issue 66, KNUBA, Kiev (1999), pp. 56–57.
24.
Zurück zum Zitat A. I. Gulyar, I. V. Polovets, and A. S. Sakharov, Numerical Finite Element Simulation of Processes of Plastic Forming of Bodies of Revolution in the Presence of Friction Forces [in Russian], Kiev (1984). Deposited in UkrNIINTI, No. 1788. A. I. Gulyar, I. V. Polovets, and A. S. Sakharov, Numerical Finite Element Simulation of Processes of Plastic Forming of Bodies of Revolution in the Presence of Friction Forces [in Russian], Kiev (1984). Deposited in UkrNIINTI, No. 1788.
25.
Zurück zum Zitat V. A. Bazhenov, O. I. Gulyar, O. G. Topor, and I. I. Solodei, “Efficiency of algorithms for the solution of elastic and elastoplastic problems of dynamics by the semi-analytical finite element method,” in: Strength of Materials and Theory of Structures [in Ukrainian], Issue 64, KNUBA, Kiev (1998), pp. 99–115. V. A. Bazhenov, O. I. Gulyar, O. G. Topor, and I. I. Solodei, “Efficiency of algorithms for the solution of elastic and elastoplastic problems of dynamics by the semi-analytical finite element method,” in: Strength of Materials and Theory of Structures [in Ukrainian], Issue 64, KNUBA, Kiev (1998), pp. 99–115.
26.
Zurück zum Zitat K.-J. Bathe, E. Ramm, and E. L. Wilson, “Finite element formulation for large deformation dynamic analysis,” Int. J. Numer. Meth. Eng., 5, No. 2, 353–386 (1975).CrossRef K.-J. Bathe, E. Ramm, and E. L. Wilson, “Finite element formulation for large deformation dynamic analysis,” Int. J. Numer. Meth. Eng., 5, No. 2, 353–386 (1975).CrossRef
Metadaten
Titel
Numerical Simulation of Dynamic Processes of Elastoplastic Interaction between Three-Dimensional Heterogeneous Bodies on the basis of Semi-Analytical Finite Element Method. Part 1. Computational Relationships of the Semi-Analytical Finite Element Method and Algorithms for the Study of Transient Processes of Dynamic Deformation of Heterogeneous Prismatic Bodies and Bodies of Revolution
verfasst von
V. A. Bazhenov
A. I. Gulyar
I. I. Solodei
Publikationsdatum
01.09.2013
Verlag
Springer US
Erschienen in
Strength of Materials / Ausgabe 5/2013
Print ISSN: 0039-2316
Elektronische ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-013-9489-3

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