A Biot-Cosserat two-dimensional elastic nonlinear model for a micromorphic medium
| Autor: | Michele De Angelo, Ivan Giorgio, Anil Misra, Emilio Turco |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Biot number Mathematical analysis Polar decomposition Nonlinear elasticity General Physics and Astronomy Context (language use) Strain energy density function 02 engineering and technology Biot poroelasticity 01 natural sciences Finite element method 010305 fluids & plasmas Cosserat medium Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Finite strain theory 0103 physical sciences General Materials Science Boundary value problem |
| Popis: | A possible strain energy density, incorporating Cosserat’s micro-rotations and Biot’s change in porosity conferred by the microstructure geometry, is proposed in an elastic, two-dimensional, nonlinear context. The nonlinearities are taken into account both extracting the exact macro-rotations by the polar decomposition of the standard deformation gradient $$\varvec{F}$$ and evaluating the change in the area at the macroscopic level of observation as $$J-1$$ . Moreover, the bulk behavior of the material is assumed to be described by a compressible neo-Hookean model. Based on a variational formulation, finite element numerical simulations of static tests in some representative examples have been performed to illustrate the main features of the proposed model and the effect of the boundary conditions. |
| Databáze: | OpenAIRE |
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