Beschreibung:
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids.Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures.A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.
The principle of virtual work is used to establish consistent theories of kinematic nonlinearity and linearity for other kinds of bodies, such as beams and plates
Preface.- Introduction.- I Continuum Mechanics.- II Specialized Continua.- III Beams with Cross-Sections and Plates with Thickness.- IV Buckling.- V Introduction to the Finite Element Method.- VI Mathematical Preliminaries.- Index.