48 research outputs found
Elementary Continuum Mechanics for Everyone - And Some More:vol. 1: continuum mechanics: specialized continua: fourth extended edition
Elementary Continuum Mechanics for Everyone - and Some More:vol. 2: buckling: introduction to the finite element method mathematical preliminaries: fourth extended edition
Elementary Continuum Mechanics for Everyone:with applications to structural mechanics
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