Abstract
Making use of the particulate microgeometries of Idiart (J. Mech. Phys. Solids 56:2599-2617, 2008), we derive an exact and closed-form result for the macroscopic response of porous Neo-Hookean solids with random microstructures. The stored-energy function is a solution to a Hamilton-Jacobi equation with initial porosity and macroscopic deformation gradient playing the roles of time and space. The main theoretical and practical aspects of the result are discussed.
Original language | English (US) |
---|---|
Pages (from-to) | 99-105 |
Number of pages | 7 |
Journal | Journal of Elasticity |
Volume | 95 |
Issue number | 1-2 |
DOIs | |
State | Published - Apr 2009 |
Externally published | Yes |
Keywords
- Finite strain
- Homogenization methods
- Polyconvexity
- Porous materials
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- Mechanical Engineering