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An adaptive mesh refinement technique for the analysis of shear bands in plane strain compression of a thermoviscoplastic solid. (English) Zbl 0775.73237


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74A15 Thermodynamics in solid mechanics
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs

Software:

ODEPACK
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Full Text: DOI

References:

[1] Batra, R. C.; Liu, D.-S. (1989): Adiabatic shear banding in plane strain problems. J. Appl. Mech. 56, 527-534 · Zbl 0709.73025
[2] Batra, R. C.; Zhu, Z. G. (1991): Dynamic shear band development in a bimetallic body containing a void. Int. J. S Struct. 27, 1829-1854
[3] Cescotto, S.; Zhou, D. W. (1989): A variable density mesh generation for planar domains. Comm. Appl. Num. Meth. 5, 473-481 · Zbl 0684.65105
[4] Habraken, A. M.; Cescotto, S. (1990): An automatic remeshing technique for finite element simulation of forming processes. Int. J. Num. Meth. Eng. 30, 1503-1525
[5] Hindmarsh, A. C. (1983): ODEPACK, A systematized collection of ODE solvers. In: Stepleman, R. S. et al. (eds): Scientific computing, pp 55-64. Amsterdam, North-Holland
[6] Hinton, E.; Campbell, J. S. (1974): Local and global smoothing of discontinuous finite element functions using a least squares method. Int. J. Num. Meth. Eng. 8, 461-480 · Zbl 0286.73066
[7] Lo, S. H. (1985): A new mesh generation scheme for arbitrary planar domains. Int. J. Num. Meth. Eng. 21, 1403-1426 · Zbl 0587.65081
[8] Löhmer, R. (1988): Some useful data structures for the generation of unstructured grids. Comm. Appl. Num. Meth. 4, 123-135 · Zbl 0643.65075
[9] Massey, H. F. (1921): The flow of metal during forging. Proc. Manchester Assoc. Engrs. 21-26
[10] Needleman, A. (1989): Dynamic shear band development in plane strain. J. Appl. Mech. 56, 1-9
[11] Peraire, J.; Vahdati, M.; Morgan, K.; Zienkiewicz, O. C. (1987): Adaptive remeshing for compressible flow computations J. Comp. Phys. 72, 449-466 · Zbl 0631.76085
[12] Peraire, J.; Peiro, J.; Formaggia, L.; Horgan, K.; Zienkiewicz, O. C. (1988): Finite element Euler computations in three dimensions. Int. J. Num. Meth. Eng. 26, 2135-2159 · Zbl 0665.76073
[13] Safjan, A.; Demkowicz, L.; Oden, J. T. (1991): Adaptive finite element methods for hyperbolic systems with application to transient acoustics. Int. J. Num. Meth. Eng. 32, 677-707 · Zbl 0755.76055
[14] Tresca, H. (1878): On further application of the flow of solids. Proc. Inst. Mech. Eng. 30, 301-345
[15] Zienkiewicz, O. C.; Zhu, J. Z. (1991): Adaptivity and mesh generation. Int. J. Num. Meth. Eng. 32 783-810 · Zbl 0755.65119
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