[图书][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Rate-independent systems

A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
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 …

[图书][B] Mathematical elasticity: Three-dimensional elasticity

PG Ciarlet - 2021 - SIAM
Introduction Since the completion of this volume in 1986, there has been an enormous
amount of fundamental advances in the theory of three-dimensional elasticity (Chapters 6 …

Ss antman je marsden l. sirovich

JKHPHJ Keener, JKBJMA Mielke, CSPKR Sreenivasan - 2005 - Springer
The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

[图书][B] Nonlinear partial differential equations with applications

T Roubíček - 2013 - books.google.com
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

Regularity of minima: an invitation to the dark side of the calculus of variations

G Mingione - Applications of mathematics, 2006 - Springer
Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
Skip to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us …

[图书][B] Anisotropie polyconvex energies

J Schröder - 2010 - Springer
In large strain elasticity the existence of minimizers is guaranteed if the variational functional
to be minimized is sequentially weakly lower semicontinuous (swls) and coercive. Therefore …

Nonlinear viscoelasticity of strain rate type: an overview

Y Şengül - Proceedings of the Royal Society A, 2021 - royalsocietypublishing.org
There are some materials in nature that experience deformations that are not elastic.
Viscoelastic materials are some of them. We come across many such materials in our daily …

[图书][B] Calculus of variations

F Rindler - 2018 - Springer
The calculus of variations has its roots in the first problems of optimality studied in classical
antiquity by Archimedes (ca. 287–212 BC in Syracuse, Magna Graecia) and Zenodorus (ca …

A computational framework for polyconvex large strain elasticity

J Bonet, AJ Gil, R Ortigosa - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
This paper presents a novel computational formulation for large strain polyconvex elasticity.
The formulation, based on the original ideas introduced by Schröder et al.(2011), introduces …