Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11027788 | Journal of the Mechanics and Physics of Solids | 2019 | 22 Pages |
Abstract
An approximate homogenization solution is put forth for the effective stored-energy function describing the macroscopic elastic response of isotropic porous elastomers comprised of incompressible non-Gaussian elastomers embedding equiaxed closed-cell vacuous pores. In spite of its generality, the solution - which is constructed in two successive steps by making use first of an iterative technique and then of a nonlinear comparison medium method - is fully explicit and remarkably simple. Its key theoretical and practical features are discussed in detail and its accuracy is demonstrated by means of direct comparisons with novel computational solutions for porous elastomers with four classes of physically relevant isotropic microstructures wherein the underlying pores are: (i) infinitely polydisperse in size and of abstract shape, (ii) finitely polydisperse in size and spherical in shape, (iii) monodisperse in size and spherical in shape, and (iv) monodisperse in size and of oblate spheroidal shape.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Bhavesh Shrimali, Victor Lefèvre, Oscar Lopez-Pamies,