This overview contribution uses the basic notions of differentialy geometry in the theory of finite deformations, what enables in a natural way to assighn to most strain tensors corresponding stress tensors and objective timederivatives and simply classify these triplets
This book presents the fundamental concepts of modern differential geometry within the framework of ...
This contributed volume explores the applications of various topics in modern differential geometry ...
The convective description of kinematics of finite elasto-plastic deformations is presented. From th...
Kinematics of finite deformations is formulated by means ofdifferential geometry to establish one-to...
This book provides definitions and mathematical derivations of fundamental relationships of tensor a...
The amazing development in technology and industry during the last half of the twentieth century has...
Complete proofsSelf-contained treatmentInterplay between differential geometry and elasticity theory
Solution of finite deformation problems is sought in the space of all deformation tensor fields. Rep...
The tensor theory is a branch of Multilinear Algebra that describes the relationship between sets of...
In this paper we review various approaches to the decomposition of total strains into elastic and no...
© 2014 Marat Sagdatullin and Dmitri Berezhnoi. In operation the fundamentals of a technique of numer...
Aims. The problem of differential equation construction characteristics and balances is being analyz...
As usual in continuum mechanics, deformation and stress tensors at a point are considered to form ve...
Basic concept of deformation and strain is described. Strain ellipse and reciprocal strain ellipse a...
Many mathematical structures can be deformed: • Manifolds with possibly an extra (e.g. Poisson) stru...
This book presents the fundamental concepts of modern differential geometry within the framework of ...
This contributed volume explores the applications of various topics in modern differential geometry ...
The convective description of kinematics of finite elasto-plastic deformations is presented. From th...
Kinematics of finite deformations is formulated by means ofdifferential geometry to establish one-to...
This book provides definitions and mathematical derivations of fundamental relationships of tensor a...
The amazing development in technology and industry during the last half of the twentieth century has...
Complete proofsSelf-contained treatmentInterplay between differential geometry and elasticity theory
Solution of finite deformation problems is sought in the space of all deformation tensor fields. Rep...
The tensor theory is a branch of Multilinear Algebra that describes the relationship between sets of...
In this paper we review various approaches to the decomposition of total strains into elastic and no...
© 2014 Marat Sagdatullin and Dmitri Berezhnoi. In operation the fundamentals of a technique of numer...
Aims. The problem of differential equation construction characteristics and balances is being analyz...
As usual in continuum mechanics, deformation and stress tensors at a point are considered to form ve...
Basic concept of deformation and strain is described. Strain ellipse and reciprocal strain ellipse a...
Many mathematical structures can be deformed: • Manifolds with possibly an extra (e.g. Poisson) stru...
This book presents the fundamental concepts of modern differential geometry within the framework of ...
This contributed volume explores the applications of various topics in modern differential geometry ...
The convective description of kinematics of finite elasto-plastic deformations is presented. From th...