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Three-dimensional finite element analysis of finite deformation micromorphic linear isotropic elasticity. (English) Zbl 1423.74013

Summary: A finite deformation micromorphic materially linear isotropic elastic model is formulated and implemented for three dimensional finite element analysis. The model is based on the kinematics, balance equations and thermodynamic equations proposed by A. C. Eringen and E. S. Suhubi [Int. J. Eng. Sci. 2, 189–203 (1964; Zbl 0138.21202)]. The constitutive equations are calculated in the reference configuration, and the resulting stresses are mapped to the current configuration. The balance of linear momentum and the balance of first moment of momentum are linearized to construct the consistent tangent for three dimensional finite element implementation for solution by the Newton-Raphson method. Three dimensional numerical examples are analyzed to demonstrate preliminarily the implementation.

MSC:

74A05 Kinematics of deformation
74S05 Finite element methods applied to problems in solid mechanics
74A15 Thermodynamics in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74N15 Analysis of microstructure in solids

Citations:

Zbl 0138.21202
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Full Text: DOI

References:

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