Nonlinear Continuum Mechanics of Solids

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works. The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring the young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation which is almost exclusively used in modern literature. This mathematical tool is presented such that the study of the book is possible without permanent reference to other works.

1 Mathematical fundamentals.- 2 Deformation.- 3 Stresses.- 4 Time derivative.- 5 Balance laws.- 6 Constitutive modelling.- Appendix 1.- A1.1 Index notation.- A1.2 Metric tensor and geometrical properties.- A1.3 Vector decompositions, tensor components of first order.- A1.4 Definition of higher-order tensor components.- A1.5 Permutation tensor.- A1.6 Christoffel symbols, covariant differentiation.- References.