Plates, Laminates and Shells: Asymptotic Analysis and Homogenization: Series on Advances in Mathematics for Applied Sciences Vol - 52

Chapter - 1: Mathematical Preliminaries Function Spaces, Convex Analysis, Variational Covergence Chapter - 2: Elastic Plates Three Dimensional Analysis and Effective Models of Composite Plates Thin Plates in Bending and Stretching Nonlinear Behavior of Plates Moderately Thick Transversely Symmetric Plates Sandwich Plates with Soft Core Comments and Bibliographical Notes Chapter - 3: Elastic Plates with Cracks Unilateral Cracks in Thin Plates Unilateral Cracks in Plates with Transverse Shear Deformation Part through the Thickness Cracks Stiffiness Loss of Cracked Laminates Comments and Bibliographical Notes Part - 4: Elastic Perfectly Plastic Plates Mathematical Complements, Homogenization of Functional with Linear Growth Homogenization of Plates Loaded by Forces and Moments Comments and Bibliographical Notes Chapter - 5: Elastic and Plastic Shells Linear and Nonlinear Models of Elastic Shells Homogenization of Stiffnesses of Thin Periodic Elastic Shells. Linear Approach Homogenized Properties of Thin Periodic Elastic Shells Undergoing Moderately Large Rotations around Tangents Perfectly Plastic Shells Comments and Bibliographical Notes Chapter - 6: Application of Homogenization Methods in Optimum Design of Plates and Shells Mathematical Complements Two Phase Plates in Bending. Hashin Shtrikman Bounds Two Phase Plate. Hashin Shtrikman Bounds for the in Plane Problem Explicit Formulae for Effective Bending Stiffnesses and Compliances or Ribbed Plates Explicit Formulae for Effective Membrane Stiffnesses and Compliances of Ribbed Plates Thin Bending Two Phase Plates of Minimum Compliance Minimum Compliance Problem for thin Plates of Varying Thickness: Application of Young Measures Thin Shells of Minimum Compliance Truss Like Michell Continua Comments and Bibliographical Notes