Sandwich Structures: Theory and Responses

This book provides a solid foundation from which most practical, theoretical problems related to sandwich structures can be derived and solved. The text brings together many problems found in the literature, such as those concerning buckling, post-buckling, free vibration, and dynamic response under various types of loadings. Sandwich construction with functionally graded facings is also briefly discussed, wherein topics obtain theoretical solutions from one comprehensive, consistent theory. The basic governing equations are presented in orthogonal curvilinear coordinates considering the shallow shell theory, which includes the strain-displacement equations, the constitutive equations, equations of motion, and the compatibility equations. Providing a clear theoretical foundation for engineers and research scientists in need of detail on sandwich structures in professional practice, the book is an ideal reference for understanding these structures through a comprehensive treatment of the theory, mathematical procedures, and applications. - Presents the state-of-the-art, most advanced general non-linear geometric theory of sandwich structures including the initial geometric imperfections for both the incompressible and the compressible core case - Leverages the shallow shell theory - Includes functional graded sandwich structures considering two variations in the constituent materials for the nonlinear case - The case for an compressible core with the attributed wrinkling (local) and global response is considered for two different types of transverse core displacements - a linear power series expansion and a second order power series expansion presented among two different theories - Provides detailed solution techniques