Elementary Continuum Mechanics for Everyone

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 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 Experience1965-67 National Service in the Civil Defense Corps. Officer.1965-98 At the Technical University of Denmark, Department of Structural Engineering. 1965-67: Part-time Assistant Professor, 1967-69 Ph.D.-student, 1969-98: Associate Professor.1975-76 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 Activities1971-75 Member of the Board of Danish Society for Structural Science and Engineering.1989-96 Chairman of the Faculty Council for Civil Engineering, Technical University of Denmark.1977-2007Member of the Scientific Council of Danish Center for Applied Mathematics and Me-chanics (DCAMM), with a break 1999-2000.2002-06 Head of Department, Department of Building Technology and Structural Engineering,Aalborg University.5 Selected Scientific Publications[S-1] Esben Byskov, -The calculation of Stress Intensity Factors Using the Finite ElementMethod with Cracked Elements,- International Journal of Fracture Mechanics, Vol. 6,No. 2 (1970), pp. 159-167.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. 159-167.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. 329-337.[S-2] Esben Byskov & JohnW. Hutchinson, -Mode Interaction in Axially Stiffened CylindricalShells,- AIAA Journal, Vol. 15, No. 7 (1977), pp. 941-948.[S-3] Esben Byskov, -Imperfection Sensitivity of Elastic-Plastic Truss Columns,-AIAA Jour-nal , Vol. 20, No. 2, pp. 263-267, 1982.[S-4] Esben Byskov, -Plastic Symmetry of Roordäs Frame,- Journal of Structural Mechanics,Vol. 10, pp. 311-328, 1982.[S-5] Esben Byskov, -Elastic Buckling Problem with Infinitely Many Local Modes,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-af International Journal of Fracture, Vol. 26 (1984), pp. 329-337.[S-2] Esben Byskov & JohnW. Hutchinson, -Mode Interaction in Axially Stiffened CylindricalShells,- AIAA Journal, Vol. 15, No. 7 (1977), pp. 941-948.[S-3] Esben Byskov, -Imperfection Sensitivity of Elastic-Plastic Truss Columns,-AIAA Jour-nal , Vol. 20, No. 2, pp. 263-267, 1982.[S-4] Esben Byskov, -Plastic Symmetry of Roordäs Frame,- Journal of Structural Mechanics,Vol. 10, pp. 311-328, 1982.[S-5] Esben Byskov, -Elastic Buckling Problem with Infinitely Many Local Modes,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-AIAA Journal, Vol. 15, No. 7 (1977), pp. 941-948.[S-3] Esben Byskov, -Imperfection Sensitivity of Elastic-Plastic Truss Columns,-AIAA Jour-nal , Vol. 20, No. 2, pp. 263-267, 1982.[S-4] Esben Byskov, -Plastic Symmetry of Roordäs Frame,- Journal of Structural Mechanics,Vol. 10, pp. 311-328, 1982.[S-5] Esben Byskov, -Elastic Buckling Problem with Infinitely Many Local Modes,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-AIAA Jour-nal , Vol. 20, No. 2, pp. 263-267, 1982.[S-4] Esben Byskov, -Plastic Symmetry of Roordäs Frame,- Journal of Structural Mechanics,Vol. 10, pp. 311-328, 1982.[S-5] Esben Byskov, -Elastic Buckling Problem with Infinitely Many Local Modes,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-, Vol. 20, No. 2, pp. 263-267, 1982.[S-4] Esben Byskov, -Plastic Symmetry of Roordäs Frame,- Journal of Structural Mechanics,Vol. 10, pp. 311-328, 1982.[S-5] Esben Byskov, -Elastic Buckling Problem with Infinitely Many Local Modes,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-Journal of Structural Mechanics,Vol. 10, pp. 311-328, 1982.[S-5] Esben Byskov, -Elastic Buckling Problem with Infinitely Many Local Modes,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-Mechanicsof Structures and Machines, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-, Vol. 15, No. 4, pp. 413-435, 1987-88.[S-6] Esben Byskov, -Smooth Postbuckling Stresses by a Modified Finite Element Method,-International Journal for Numerical Methods in Engineering, Vol. 28, pp. 2877-2888,1989., Vol. 28, pp. 2877-2888,1989.Curriculum Vitae for Esben Byskov March 11, 2013 2[S-7] Esben Byskov, Claus Dencker Christensen & Kristian Jørgensen, -Elastic Postbucklingwith Nonlinear Constraints,- Int. J. Solids Structures, Vol. 33, pp. 2417-2436, 1996.[S-8] Esben Byskov, Jes Christoffersen, Claus Dencker Christensen & Johannes Sand Poulsen,-Kinkband Formation in Wood and Fiber Composites-Morphology and Analysis,-Int. J. Solids Structures, Vol. 33, pp. 2417-2436, 1996.[S-8] Esben Byskov, Jes Christoffersen, Claus Dencker Christensen & Johannes Sand Poulsen,-Kinkband Formation in Wood and Fiber Composites-Morphology and Analysis,-Int. J. Solids Structures, Vol. 39, pp. 3649-3673, 2002.[S-9] William E. Warren & Esben Byskov, -Symmetry Restrictions on Two-Dimensional Ma-terials,- European Journal of Mechanics-A/Solids, Vol. 21, pp. 779-792, 2002.[S-10] W.E. Warren & E. Byskov, -A General Solution to some Plane Problems of MicropolarElasticity,- Elasticity European Journal of Mechanics - A/Solids, Vol. 27, pp. 18-27,2008.[S-11] C.D. Christensen & E. Byskov, -Advanced Postbuckling and Imperfection Sensitivity ofthe Elastic-Plastic Shanley-Hutchinson Model Column,- Journal of Mechanics af Mate-rials and Structures, Vol. 3, pp. 459-492, 2008.[S-12] 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. 925-961, 2010., Vol. 39, pp. 3649-3673, 2002.[S-9] William E. Warren & Esben Byskov, -Symmetry Restrictions on Two-Dimensional Ma-terials,- European Journal of Mechanics-A/Solids, Vol. 21, pp. 779-792, 2002.[S-10] W.E. Warren & E. Byskov, -A General Solution to some Plane Problems of MicropolarElasticity,- Elasticity European Journal of Mechanics - A/Solids, Vol. 27, pp. 18-27,2008.[S-11] C.D. Christensen & E. Byskov, -Advanced Postbuckling and Imperfection Sensitivity ofthe Elastic-Plastic Shanley-Hutchinson Model Column,- Journal of Mechanics af Mate-rials and Structures, Vol. 3, pp. 459-492, 2008.[S-12] 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. 925-961, 2010.European Journal of Mechanics-A/Solids, Vol. 21, pp. 779-792, 2002.[S-10] W.E. Warren & E. Byskov, -A General Solution to some Plane Problems of MicropolarElasticity,- Elasticity European Journal of Mechanics - A/Solids, Vol. 27, pp. 18-27,2008.[S-11] C.D. Christensen & E. Byskov, -Advanced Postbuckling and Imperfection Sensitivity ofthe Elastic-Plastic Shanley-Hutchinson Model Column,- Journal of Mechanics af Mate-rials and Structures, Vol. 3, pp. 459-492, 2008.[S-12] 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. 925-961, 2010.Elasticity European Journal of Mechanics - A/Solids, Vol. 27, pp. 18-27,2008.[S-11] C.D. Christensen & E. Byskov, -Advanced Postbuckling and Imperfection Sensitivity ofthe Elastic-Plastic Shanley-Hutchinson Model Column,- Journal of Mechanics af Mate-rials and Structures, Vol. 3, pp. 459-492, 2008.[S-12] 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. 925-961, 2010.Journal of Mechanics af Mate-rials and Structures, Vol. 3, pp. 459-492, 2008.[S-12] 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. 925-961, 2010., Vol. 3, pp. 459-492, 2008.[S-12] 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. 925-961, 2010.Journal of Mechanics af Materials and Structures, Vol. 5,pp. 925-961, 2010.6 Examples of Teaching1967-75 As a Ph.D.-student Esben Byskov introduced the first Danish course on Brittle Frac-ture Mechanics and Application of Complex Functional Analysis to Plane Problemsof Elasticity.Brittle Frac-ture Mechanics and Application of Complex Functional Analysis to Plane Problemsof Elasticity.1972-881998-2006In 1972 Esben Byskov established the first Danish course on The Finite ElementMethod.In 1972-77 the course was also given for engineers from practice.In 1975 the course was also given at The University of Reykjavik and at the IcelandicSociety of Engineers.1992-2004 The first Danish course on Advanced Structural Stability, covering postbuckling be-havior and imperfection sensitivity.1996-2006 Continuum Mechanics.1985 Structural Stability at University of Texas at Austin.The Finite ElementMethod.In 1972-77 the course was also given for engineers from practice.In 1975 the course was also given at The University of Reykjavik and at the IcelandicSociety of Engineers.1992-2004 The first Danish course on Advanced Structural Stability, covering postbuckling be-havior and imperfection sensitivity.1996-2006 Continuum Mechanics.1985 Structural Stability at University of Texas at Austin..In 1972-77 the course was also given for engineers from practice.In 1975 the course was also given at The University of Reykjavik and at the IcelandicSociety of Engineers.1992-2004 The first Danish course on Advanced Structural Stability, covering postbuckling be-havior and imperfection sensitivity.1996-2006 Continuum Mechanics.1985 Structural Stability at University of Texas at Austin.Advanced Structural Stability, covering postbuckling be-havior and imperfection sensitivity.1996-2006 Continuum Mechanics.1985 Structural Stability at University of Texas at Austin.Continuum Mechanics.1985 Structural Stability at University of Texas at Austin.Structural Stability at University of Texas at Austin.7 Selected Theses and Books[B-1] Esben Byskov, Mathematical Theory for Cracks in Brittle Materials (in part in Dan-ish), Ph.D. Thesis (1970) Department of Structural Engineering, Technical University ofDenmark.[B-2] Esben Byskov, Selected Buckling Problems, Thesis for the degree of Doctor Technices,Technical University of Denmark, Department of Structural Engineering, v + 49 pp. (Oc-tober 1989).[B-3] Esben Byskov, Elementary Continuum Mechanics for Everyone. With Applications toStructural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hardcopy: ISBN 978-94-007-5765-3, eBook: ISBN 978-94-007-5766-0.Mathematical Theory for Cracks in Brittle Materials (in part in Dan-ish), Ph.D. Thesis (1970) Department of Structural Engineering, Technical University ofDenmark.[B-2] Esben Byskov, Selected Buckling Problems, Thesis for the degree of Doctor Technices,Technical University of Denmark, Department of Structural Engineering, v + 49 pp. (Oc-tober 1989).[B-3] Esben Byskov, Elementary Continuum Mechanics for Everyone. With Applications toStructural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hardcopy: ISBN 978-94-007-5765-3, eBook: ISBN 978-94-007-5766-0.Selected Buckling Problems, Thesis for the degree of Doctor Technices,Technical University of Denmark, Department of Structural Engineering, v + 49 pp. (Oc-tober 1989).[B-3] Esben Byskov, Elementary Continuum Mechanics for Everyone. With Applications toStructural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hardcopy: ISBN 978-94-007-5765-3, eBook: ISBN 978-94-007-5766-0.Elementary Continuum Mechanics for Everyone. With Applications toStructural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hardcopy: ISBN 978-94-007-5765-3, eBook: ISBN 978-94-007-5766-0., Solid Mechanics and Its Applications, Vol. 194, Springer. Hardcopy: ISBN 978-94-007-5765-3, eBook: ISBN 978-94-007-5766-0.8 Awards etc.1967 Third Prize in the -International Competition on a Permanent Connection Across theGreat Belt.-1989 Award from Reinholdt W. Jorck og hustrus fond.Reinholdt W. Jorck og hustrus fond.