The mathematical theory of contact mechanics is a growing field in engineering and
scientific computing. This book is intended as a unified and readily accessible source for …

Existence, uniqueness, and regularity theory is developed for a general initial-boundary-
value problem for a system of partial differential equations which describes the Biot …

This work proposes new interface conditions between the layers of a three-dimensional
composite structure in the framework of coupled thermoelasticity. More precisely, the …

A new class of unilateral variational models appearing in the theory of poroelasticity is
introduced and studied. A poroelastic medium consists of solid phase and pores saturated …

We propose and analyze a generalized finite element method designed for linear quasistatic
thermoelastic systems with spatial multiscale coefficients. The method is based on the local …

In this paper homogenization of a mathematical model for plant tissue biomechanics is
presented. The microscopic model constitutes a strongly coupled system of reaction …

Nonlinear extensions of the quasi-static Biot model of consolidation are studied with
emphasis on boundary conditions, attainment of initial values, and parabolic regularizing …

A fully saturated poroelastic medium is confined by the sides of a cylinder, and the regions
below and above the medium are filled with fluid at respective constant pressures. The …

We report on some recent progress in the mathematical theory of nonlinear fluid transport
and poro-mechanics, specifically, the design, analysis and application of mathematical …

A second-order accurate numerical scheme is proposed for a thermo-elastic system which
models a bar made of two distinct materials. The physical parameters involved may be …