Stressed Composite Structures

1. Introduction in the Homogenization Method as Applied to Stressed Composite Materials.- 1.1. Linear Model of a Stressed Elastic Body.- 1.2. Homogenization Method in the Mechanics of Composites. The Basic Approaches.- 1.3. Homogenization Method in the Mechanics of Stressed Composites.- 2. Stressed Composite Plates and Membranes.- 2.1. Stressed Plates (2-D Model).- 2.2. Stressed Plates (Transition from 3-D to 2-D Model, In-Plane Initial 27 Stresses).- 2.3. Stressed Plates (Transition from 3-D to 2-D Model, Moments of Initial Stresses).- 2.4. 2-D Boundary Conditions Derived from the 3-D Boundary Problem.- 2.5. 3-D and 2-D "Energy Forms" for a Stressed Plate and a Stability Criterion for a Plate.- 2.6. Membrane (2-D model).- 2.7. Membrane (Transition from 3-D to 2-D Model).- 2.8. Plates with no Initial Stresses. Computing of Resultant Initial Stresses.- 3. Stressed Composite Beams, Rods and Strings.- 3.1. Stressed Beam (1-D model).- 3.2. Stressed Beams (Transition from 3-D to 1-D Model,Initial Axial Stresses).- 3.3. Stressed Beams (Transition from 3-D to 1-D Model, Moments of Initial Stresses).- 3.4. 1-D boundary Conditions Derived from 3-D Elasticity Problem.- 3.5. 3-D and 1-D "Energy Forms" for a Stressed Beam and a Stability Criterion for a Beam.- 3.6. Strings (1-D Model).- 3.7. Strings (Transition from a 3-D to a 1-D Model).- 3.8. Beams with no initial stresses. Computing of resultant initial stresses and moments.- 4. Calculation and Estimation of Homogenized Stiffnesses of Plate-Like and Beam-Like Composite Structures.- 4.1. Variational Principles for Stiffnesses of Nonhomogeneous Plates.- 4.2. Variational Principles for Stiffnesses of Nonhomogeneous Beams.- 4.3. The Homogenization Method Modified for Lattice Plats.- 4.4. The Homogenization Method Modified for Lattice Beams.- 4.5. Review of Software Suitable for Homogenization Procedures.- Appendix A. Plates and Beams in Different Coordinate Systems.- A1. Homogenized Stiffnesses of a Plate in Different Coordinate

"It is a book that can be useful to engineers, physicists and mathematicians, among others. ... In my opinion the book is well written, with clear explanations, and develops a very practical theme in the field of composite materials. The text and bibliography are a source of significant knowledge for specialists of different areas." (Reinaldo Rodríguez-Ramos, Mathematical Reviews, September, 2020)