This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

R In the companion book (Continuum Mechanics Using Mathematica) to this volume, we
explained the foundations of continuum mechanics and described some basic applications …

A model for a nonlinear elastic body with a double porosity structure is proposed. We
generalize previous work which has concentrated mainly on linear double porosity elastic …

The use of discontinuity surface propagation (eg shock waves and acceleration waves) is
well known in modern continuum mechanics and yields a very useful means to obtain …

The'tipping point'phenomenon is discussed as a mathematical object, and related to the
behaviour of non-linear discontinuity waves in the dynamics of topical sociological and …

Complex elastic media such as biological membranes, in particular, blood vessels, may be
described as fiber-reinforced solids in the framework of nonlinear hyperelasticity. Finite …

An acceleration wave analysis is presented for a fully nonlinear theory of acoustic wave
propagation in a bidispersive porous medium. The bidispersive porous medium belongs to …

In this paper, we propose a regular perturbation method to obtain approximate analytic
solutions of exterior and interior Dirichlet problems for Laplace's equation in planar domains …

The paper presents the perturbation method which was used for computation of eigenvalues
and eigenvectors for the assumed homogeneous state of strain in the hyperelastic …

In this paper a finite element analysis (FEA) of machining for AISI1045 is presented. In
particular, the thermodynamical constitutive equation (TCE) in FEA is applied for both …