Claude Stolz – författare

C. Dascalu * G. A. Maugin The volume presents recent developments in the This special issue aims at bringing together recent theory of defects and the mechanics of material forces. developmentsinMaterialMechanicsandthemoreclas- Most of the contributions were presented at the Inter- sical Defect Mechanics approaches. The contributions national Symposium on Defect and Material Forces are highlighting recent research on topics like: fracture (ISDMM2007), held in Aussois, France, March 25- and damage, electromagnetoelasticity, plasticity, dis- 29, 2007. tributed dislocations, thermodynamics, poroelasticity, Originated in the works of Eshelby, the Material or generalized continua, structural optimization, conser- Con gurational Mechanics experienced a remarkable vationlawsandsymmetries,multiscaleapproachesand revival over the last two decades. When the mechanics numerical solution strategies. ofcontinuaisfullyexpressedonthematerialmanifold, We expect the present volume to be a valuable it captures the material inhomogeneities. The driving resource for researchers in the eld of Mechanics of (material) forces on inhomogeneities appear naturally Defects in Solids. in this framework and are requesting for constitutive We dedicate this special issue to the memory of modeling of the evolution of inhomogeneities through the late Professor George Herrmann (1921-2007).

This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of motion. After a short description of the motion of the system and the mechanical interaction, the book introduces the Lagrangean and Hamiltonian functionals of the system, transitioning to the quasistatic characterization with emphasis on the role of potential energy and pseudo-potential of dissipation. The framework is then extended to fracture and damage mechanics with a similar energetical approach proposed for material damage and wear. The book looks at homogenization in non-linear mechanics for locally plastic or damaged material with an analysis of stability and bifurcation of the equilibrium path. Lastly, inverse problems in non-linear mechanics are introduced using optimal control theory. All the concepts introduced in the book are illustrated using analytical solutions on beams, rods, plates, or using spherical and cylindrical symmetries. Graduate students and researchers working on continuum mechanics and interested in a deeper understanding of materials damage, wear, and fatigue will find this book instructive and informative.

This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of motion. After a short description of the motion of the system and the mechanical interaction, the book introduces the Lagrangean and Hamiltonian functionals of the system, transitioning to the quasistatic characterization with emphasis on the role of potential energy and pseudo-potential of dissipation. The framework is then extended to fracture and damage mechanics with a similar energetical approach proposed for material damage and wear. The book looks at homogenization in non-linear mechanics for locally plastic or damaged material with an analysis of stability and bifurcation of the equilibrium path. Lastly, inverse problems in non-linear mechanics are introduced using optimal control theory. All the concepts introduced in the book are illustrated using analytical solutions on beams, rods, plates, or using spherical and cylindrical symmetries. Graduate students and researchers working on continuum mechanics and interested in a deeper understanding of materials damage, wear, and fatigue will find this book instructive and informative.