Читать книгу Properties for Design of Composite Structures - Neil McCartney - Страница 12

Overview: This chapter introduces the basic principles on which the mechanics of continua are based. Having defined the concepts of vectors and tensors, the physical quantities displacement and velocity are defined for continuous systems and then applied to the fundamental balance laws for mass, momentum (linear and angular) and energy. The principles of the thermodynamics of multicomponent fluid systems are first introduced. The strain tensor is then introduced so that the thermodynamic approach can be extended to solid systems for the single-component solids that will be considered in this book. The fundamental equations are then described for linear thermoelastic solids subject to infinitesimal deformations. The chapter then specifies the constitutive equations required for the analysis of anisotropic solids that will be encountered throughout the book, including the transformation of anisotropic properties following rotation about a given coordinate axis. The chapter concludes by considering bend formation applied to a homogeneous orthotropic plate.