Читать книгу Properties for Design of Composite Structures - Neil McCartney - Страница 13

The principal objective of this book is to develop theoretical models and associated software that can predict the deformation behaviour of composite materials for situations where the system is first undamaged, but then develops progressively growing damage as the applied loading is gradually increased. Even though the composite systems are heterogeneous, continuum methods can be applied to each constituent of the composite, and to assist in the development of models for homogenised effectively continuous systems where the details of the reinforcement and damage distribution have been smoothed, and where effective properties may be defined.

The objective of this chapter is to describe the fundamental principles on which theoretical developments will be based. The topics to be covered are the nature of vectors and tensors, the definitions of displacement and velocity vectors, the balance laws for mass, momentum and energy, thermodynamics involving stress and strain state variables, and a thorough treatment of the linear elastic behaviour of anisotropic materials, including a contracted notation that is used widely in the composites field.