TY - BOOK AU - Byskov,Esben ED - SpringerLink (Online service) TI - Elementary Continuum Mechanics for Everyone: With Applications to Structural Mechanics T2 - Solid Mechanics and Its Applications, SN - 9789400757660 AV - TA405-409.3 U1 - 620.1 23 PY - 2013/// CY - Dordrecht PB - Springer Netherlands, Imprint: Springer KW - Engineering KW - Applied mathematics KW - Engineering mathematics KW - Continuum mechanics KW - Mechanical engineering KW - Continuum Mechanics and Mechanics of Materials KW - Mechanical Engineering KW - Appl.Mathematics/Computational Methods of Engineering N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-94-007-5766-0 ER -