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On Large Solutions for the Quasistatic Problem in Non‐linear Viscoelasticity with the Constitutive Equations of Bodner–Partom
Author(s) -
Chełmiński Krzysztof
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199608)19:12<933::aid-mma802>3.0.co;2-m
Subject(s) - quasistatic process , viscoelasticity , mathematics , constitutive equation , work (physics) , mathematical analysis , finite element method , physics , thermodynamics
This work proves global in time existence of large solutions for a quasistatic problem in non‐linear viscoelasticity in the three‐dimensional case. The basic idea is to apply the energy method for local in time solutions.