Achenbach J.D. A Theory of Elasticity with Microstructure for Directionally Reinforced Composites

Springer, 1975. — 135 p. — ISBN: 3211812342The material presented in this volume is part of a set of notes for a series of lectures, which was given under the title "Mechanical Behavior of Directionally Reinforced Composites under Dynamic Loadin:_g Conditions," at the International Institute of Mechanical Sciences, Udine, Italy, in July 1973. Since the printed volume is mainly devoted to mathematical modeling of the mechanical behavior of directionally reinforced composites, in particularly by means of theories
of elasticity with microstructure, the present title of the volume is more appropriate. For a laminated medium, a homogeneous continuum model whose mechanical behallior is described by a theory of elasticity with microstructure, was proposed in 1966, jointly by the author and G. Herrmann. Since then, the basic ideas have been extended to theories for fiber-reinforced composites, and to viscoelastic material behavior, as well as to theories to describe thermal effects, and effects of large deformations and nonlinear mechanical behavior. For laminated media and fiber-reinforced composites the development of the theory is presented in Part II. To place these new theories, and their areas of application, in a proper perspective, the well-established effective modulus theory is discussed in some detail in Part I.The Effective Modulus TheoryClassical Linearized Elasticity
The Effective Modulus Theory
Wave Motions in a Laminated Medium
The Directionally Reinforced Composite As A Homogeneous Continuum With Microstructure
The Laminated Medium
Fiber-Reinforced Composites
Addendum, Special Theories And Comparisons With Experimental Results
The Laminated Medium
The Fiber-Reinforced Composite