In order to found continuum mechanics, two different postulations have been used. The first,
introduced by Lagrange and Piola, starts by postulating how the work expended by internal …

Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

Abstract Navier–Cauchy format for Continuum Mechanics is based on the concept of contact
interaction between sub-bodies of a given continuous body. In this paper, it is shown how …

Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

The description of the mechanical behaviour of brick/block masonry through equivalent
continua is presented here as a paradigmatic example of the problem of gross modelling of …

The mechanical behaviour of complex materials, characterised at finer scales by the
presence of heterogeneities of significant size and texture, strongly depends on their …

After the wide premise of Part I, where the equations for Cauchy's continuum were retrieved
through the energy minimization and some differential geometric perspectives were …

This is a second exegetic essay on the fundamental review article DIE ALLGEMEINEN
ANSÄTZE DER MECHANIK DER KONTINUA in the Encyklopädie der mathematischen …

This is our third and last exegetic essay on the fundamental review article DIE
ALLGEMEINEN ANSÄTZE DER MECHANIK DER KONTINUA in the Encyklopädie der …