On deformation of porous plates

Abstract

Porous materials are widespread in different areas of technology, biology, medicine. Therefore, the study of mechanical behavior for different problems of poroelasticity is important. The present work is devoted to the development of a mathematical model for the deformation of porous plates. By completing this, the model of material with voids is used. To implement a plate behavior the plane stress and Kirchhoff hypotheses are introduced. Further realization is based on the variational principle, similar to the Lagrange one. As an example there constructed solutions for the cylindrical bending and in-plane stretching problem of a porous plate. In addition, the bending problem in the case of a homogeneous disturbed surface load is analyzed in details with a demonstration of the boundary-layer effect.

Relative Pore Volume Under Indentation of Porous Materials

“…Контактные задачи для пористых сред рассматривались в [19,20]. В [21] рассмотрена задача о пористой пластине. Задача о трещине, дислоцированной в пористом материале, рассмотрена в [22].…”