Finite Element Formulation of a Linear Viscoelastic Material

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  • Finite Element Formulation of a Linear

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Rock bodies are assumed to be composed of a two elements Maxwell and a generalized Maxwell model. The finite element formulation of these two viscoelastic materials is that viscous term within constitutive equation of the materials is regarded as initial strain and the unknown displacements are calculated for suitable time interval by the stiffness equation which is derived from the variational principle of elasticity. The resultant computer program of the two elements Maxwell model is adopted to a simple problem of stress response in order to be tested. Numerical and analytical solutions fit well together. It is interesting that tensile stress is observed parallel to contractive strain in this test.

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