Byskov, Esben.
Elementary Continuum Mechanics for Everyone With Applications to Structural Mechanics / [electronic resource] : by Esben Byskov. - XXX, 593 p. online resource. - Solid Mechanics and Its Applications, 194 0925-0042 ; . - Solid Mechanics and Its Applications, 194 .
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.
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.
9789400757660
10.1007/978-94-007-5766-0 doi
Engineering.
Applied mathematics.
Engineering mathematics.
Continuum mechanics.
Mechanical engineering.
Engineering.
Continuum Mechanics and Mechanics of Materials.
Mechanical Engineering.
Appl.Mathematics/Computational Methods of Engineering.
TA405-409.3 QA808.2
620.1
Elementary Continuum Mechanics for Everyone With Applications to Structural Mechanics / [electronic resource] : by Esben Byskov. - XXX, 593 p. online resource. - Solid Mechanics and Its Applications, 194 0925-0042 ; . - Solid Mechanics and Its Applications, 194 .
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.
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.
9789400757660
10.1007/978-94-007-5766-0 doi
Engineering.
Applied mathematics.
Engineering mathematics.
Continuum mechanics.
Mechanical engineering.
Engineering.
Continuum Mechanics and Mechanics of Materials.
Mechanical Engineering.
Appl.Mathematics/Computational Methods of Engineering.
TA405-409.3 QA808.2
620.1