Elementary Continuum Mechanics for Everyone

Opening with a derivation of kinematically nonlinear 3-D continuum mechanics for solids, this book uses virtual work to derive the simpler, kinematically linear 3-D theory and to offer a foundation for consistent theories of kinematic nonlinearity and linearity.

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 An in-depth treatment of structural instability as many structures fail due to this phenomenon An introduction to the most versatile numerical method, the finite element method, including means of mending inherent problems An informal, yet precise exposition that emphasizes not just how a topic is treated, but discusses why a particular choice is made Includes supplementary material: sn.pub/extras

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The author's distinctive, personal style of writing combines rigorous scientific methods and precise results with a relaxed pedagogical approach that is very much a feature and an added benefit of this work.Curriculum Vitae for Esben ByskovMarch 11, 20131 Personal DataBorn July 14, 1941 in Copenhagen.Languages: Danish and American English.2 Degrees1965 M.Sc., Technical University of Denmark.1970 Ph.D., Technical University of Denmark.1991 Doctor Technices, Technical University of Denmark.3 Jobs and Experience196567 National Service in the Civil Defense Corps. Officer.196598 At the Technical University of Denmark, Department of Structural Engineering. 196567: Part-time Assistant Professor, 196769 Ph.D.-student, 196998: Associate Professor.197576 Honorary Research Fellow at Division of Engineering and Applied Physics, HarvardUniversity, Cambridge, Massachusetts.1985 Visiting Professor at Department of Aerospace Engineering and Engineering Mechanics,The University of Texas at Austin.1998 Professor at Department of Civil Engineering, Aalborg University. Since 2007 ProfessorEmeritus.4 Examples of Professional Activities197175 Member of the Board of Danish Society for Structural Science and Engineering.198996 Chairman of the Faculty Council for Civil Engineering, Technical University of Denmark.19772007Member of the Scientific Council of Danish Center for Applied Mathematics and Me-chanics (DCAMM), with a break 19992000.200206 Head of Department, Department of Building Technology and Structural Engineering,Aalborg University.5 Selected Scientific Publications[S1] Esben Byskov, The calculation of Stress IntensityFactors Using the Finite ElementMethod with Cracked Elements, International Journal of Fracture Mechanics, Vol. 6,No. 2 (1970), pp. 159167.This paper is one of 16 out of approximately 800 that were chosen for reprinting in 20 thInternational Journal of Fracture Mechanics, Vol. 6,No. 2 (1970), pp. 159167.This paper is one of 16 out of approximately 800 that were chosen for reprinting in 20 th20 thYear Reprint Issue af International Journal of Fracture, Vol. 26 (1984), pp. 329337.[S2] Esben Byskov & JohnW. Hutchinson, Mode Interaction in Axially Stiffened CylindricalShells, AIAA Journal, Vol. 15, No. 7 (1977), pp. 941948.[S3] Esben Byskov, Imperfection Sensitivity of Elastic-Plastic Truss Columns,AIAA Jour-nal , Vol. 20, No. 2, pp. 263267, 1982.[S4] Esben Byskov, Plastic Symmetry of Roorda's Frame, Journal of Structural Mechanics,Vol. 10, pp. 311328, 1982.[S5] Esben Byskov, Elastic Buckling Problem with Infinitely Many Local Modes,Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,af International Journal of Fracture, Vol. 26 (1984), pp. 329337.[S2] Esben Byskov & JohnW. Hutchinson, Mode Interaction in Axially Stiffened CylindricalShells, AIAA Journal, Vol. 15, No. 7 (1977), pp. 941948.[S3] Esben Byskov, Imperfection Sensitivity of Elastic-Plastic Truss Columns,AIAA Jour-nal , Vol. 20, No. 2, pp. 263267, 1982.[S4] Esben Byskov, Plastic Symmetry of Roorda's Frame, Journal of Structural Mechanics,Vol. 10, pp. 311328, 1982.[S5] Esben Byskov, Elastic Buckling Problem with Infinitely Many Local Modes,Mechanicsof Structures and Machines,Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,AIAA Journal, Vol. 15, No. 7 (1977), pp. 941948.[S3] Esben Byskov, Imperfection Sensitivity of Elastic-Plastic Truss Columns,AIAA Jour-nal , Vol. 20, No. 2, pp. 263267, 1982.[S4] Esben Byskov, Plastic Symmetry of Roorda's Frame, Journal of Structural Mechanics,Vol. 10, pp. 311328, 1982.[S5] Esben Byskov, Elastic Buckling Problem with Infinitely Many Local Modes,Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,AIAA Jour-nal , Vol. 20, No. 2, pp. 263267, 1982.[S4] Esben Byskov, Plastic Symmetry of Roorda's Frame, Journal of Structural Mechanics,Vol. 10, pp. 311328, 1982.[S5] Esben Byskov, Elastic Buckling Problem with Infinitely Many Local Modes,Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,, Vol. 20, No. 2, pp. 263267, 1982.[S4] Esben Byskov, Plastic Symmetry of Roorda's Frame, Journal of Structural Mechanics,Vol. 10, pp. 311328, 1982.[S5] Esben Byskov, Elastic Buckling Problem with Infinitely Many Local Modes,Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,Journal of Structural Mechanics,Vol. 10, pp. 311328, 1982.[S5] Esben Byskov, Elastic Buckling Problem with Infinitely Many Local Modes,Mechanicsof Structures andMachines, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,, Vol. 15, No. 4, pp. 413435, 198788.[S6] Esben Byskov, Smooth Postbuckling Stresses by a Modified Finite Element Method,International Journal for Numerical Methods in Engineering, Vol. 28, pp. 28772888,1989., Vol. 28, pp. 28772888,1989.Curriculum Vitae for Esben Byskov March 11, 2013 2[S7] Esben Byskov, Claus Dencker Christensen & Kristian Jørgensen, Elastic Postbucklingwith Nonlinear Constraints, Int. J. Solids Structures, Vol. 33, pp. 24172436, 1996.[S8] Esben Byskov, Jes Christoffersen, Claus Dencker Christensen & Johannes Sand Poulsen,Kinkband Formation in Wood and Fiber CompositesMorphology and Analysis,Int. J. Solids Structures, Vol. 33, pp. 24172436, 1996.[S8] Esben Byskov, Jes Christoffersen, Claus Dencker Christensen & Johannes Sand Poulsen,Kinkband Formation in Wood and Fiber CompositesMorphology and Analysis,Int. J. Solids Structures, Vol. 39, pp. 36493673, 2002.[S9] William E. Warren & Esben Byskov, Symmetry Restrictions on Two-Dimensional Ma-terials, European Journal of MechanicsA/Solids, Vol. 21, pp. 779792, 2002.[S10] W.E. Warren & E. Byskov, A General Solution to some Plane Problems of MicropolarElasticity, Elasticity European Journal of Mechanics - A/Solids, Vol. 27, pp. 1827,2008.[S11] C.D. Christensen & E. Byskov, Advanced Postbuckling and Imperfection Sensitivity ofthe Elastic-Plastic Shanley-Hutchinson Model Column, Journal of Mechanicsaf Mate-rials and Structures, Vol. 3, pp. 459492, 2008.[S12] C.D. Christensen & E. Byskov, An enhanced asymptotic expansion for the stability ofnonlinear elastic structures, Journal of Mechanics af Materials and Structures, Vol. 5,pp. 925961, 2010., Vol. 39, pp. 36493673, 2002.[S9] William E. Warren & Esben Byskov, Symmetry Restrictions on Two-Dimensional Ma-terials, European Journal of MechanicsA/Solids, Vol. 21, pp. 779792, 2002.[S10] W.E. Warren & E. Byskov, A General Solution to some Plane Problems of MicropolarElasticity, Elasticity European Journal of Mechanics - A/Solids, Vol. 27, pp. 1827,2008.[S…