The physics and mathematics of the second law of thermodynamics

EH Lieb, J Yngvason - Physics Reports, 1999 - Elsevier
The essential postulates of classical thermodynamics are formulated, from which the second
law is deduced as the principle of increase of entropy in irreversible adiabatic processes that …

Multifield theories in mechanics of solids

PM Mariano - Advances in Applied Mechanics, 2002 - Elsevier
Publisher Summary Multifield theories indicate the wide range of models in which some
graphic fields must be introduced to describe the influence of material substructures on the …

[图书][B] Extended irreversible thermodynamics

D Jou, J Casas-Vázquez, G Lebon, D Jou… - 1996 - Springer
Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

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] Understanding non-equilibrium thermodynamics

G Lebon, D Jou, J Casas-Vázquez - 2008 - Springer
Our time is characterized by an explosion of information and by an acceleration of
knowledge. A book cannot compete with the huge amount of data available on the Web …

[图书][B] Mathematical problems in linear viscoelasticity

M Fabrizio, A Morro - 1992 - SIAM
The aim of this book is to investigate the connection between thermodynamic restrictions
and the well posedness of initial and boundary value problems. On the one hand, we …

[图书][B] Thermodynamics of materials with memory

G Amendola, M Fabrizio, JM Golden, G Amendola… - 2021 - Springer
We now apply thermodynamic principles to field theories with memory. For general
nonlinear, nonisothermal theories, we assume that a free energy is given, this being the …

Introduction to the Thermodynamics of Solids

JL Ericksen - 1992 - osti.gov
This book addresses issues of thermodynamics associated with solids from a unique point of
view. Professor Ericksen provides a perspective of thermodynamics which is based in …

A constitutive relation for rate-independent hysteresis in ferromagnetically soft materials

BD Coleman, ML Hodgdon - International journal of engineering science, 1986 - Elsevier
Constitutive relations of the general form, dB/dt= α¦ dH/dt¦[ƒ (H)− B]+(dH/dt) g (H), with ƒ and
g piecewise linear functions, appear to give a good description of rate-independent …

Stabilization of distributed systems using irreversible thermodynamics

AA Alonso, BE Ydstie - Automatica, 2001 - Elsevier
We connect thermodynamics and the passivity theory of nonlinear control. The storage
function is derived from the convexity of the entropy and is closely related to the …