Elementary Continuum Mechanics for Everyone
With Applications to Structural Mechanics
Authors: Byskov, Esben
 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 indepth 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
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 About this book

The book opens with a derivation of kinematically nonlinear 3D continuum mechanics for solids.
Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3D 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 BudianskyHutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an indepth treatment of structural instability.  About the authors

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 Byskov
March 11, 20131 Personal Data
Born July 14, 1941 in Copenhagen.
Languages: Danish and American English.
2 Degrees
1965 M.Sc., Technical University of Denmark.
1970 Ph.D., Technical University of Denmark.
1991 Doctor Technices, Technical University of Denmark.
3 Jobs and Experience
1965–67 National Service in the Civil Defense Corps. Officer.
1965–98 At the Technical University of Denmark, Department of Structural Engineering. 1965–
67: Parttime Assistant Professor, 1967–69 Ph.D.student, 1969–98: Associate Professor.
1975–76 Honorary Research Fellow at Division of Engineering and Applied Physics, Harvard
University, 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 Professor
Emeritus.
4 Examples of Professional Activities
1971–75 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–
2007
Member 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 Element
Method 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 th
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 th
20 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 Cylindrical
Shells,” AIAA Journal, Vol. 15, No. 7 (1977), pp. 941–948.
[S–3] Esben Byskov, “Imperfection Sensitivity of ElasticPlastic Truss Columns,”AIAA Jour
nal , Vol. 20, No. 2, pp. 263–267, 1982.
[S–4] Esben Byskov, “Plastic Symmetry of Roorda’s Frame,” Journal of Structural Mechanics,
Vol. 10, pp. 311–328, 1982.
[S–5] Esben Byskov, “Elastic Buckling Problem with Infinitely Many Local Modes,”Mechanics
of 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 Cylindrical
Shells,” AIAA Journal, Vol. 15, No. 7 (1977), pp. 941–948.
[S–3] Esben Byskov, “Imperfection Sensitivity of ElasticPlastic Truss Columns,”AIAA Jour
nal , Vol. 20, No. 2, pp. 263–267, 1982.
[S–4] Esben Byskov, “Plastic Symmetry of Roorda’s Frame,” Journal of Structural Mechanics,
Vol. 10, pp. 311–328, 1982.
[S–5] Esben Byskov, “Elastic Buckling Problem with Infinitely Many Local Modes,”Mechanics
of 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 ElasticPlastic Truss Columns,”AIAA Jour
nal , Vol. 20, No. 2, pp. 263–267, 1982.
[S–4] Esben Byskov, “Plastic Symmetry of Roorda’s Frame,” Journal of Structural Mechanics,
Vol. 10, pp. 311–328, 1982.
[S–5] Esben Byskov, “Elastic Buckling Problem with Infinitely Many Local Modes,”Mechanics
of 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 Roorda’s Frame,” Journal of Structural Mechanics,
Vol. 10, pp. 311–328, 1982.
[S–5] Esben Byskov, “Elastic Buckling Problem with Infinitely Many Local Modes,”Mechanics
of 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 Roorda’s Frame,” Journal of Structural Mechanics,
Vol. 10, pp. 311–328, 1982.
[S–5] Esben Byskov, “Elastic Buckling Problem with Infinitely Many Local Modes,”Mechanics
of 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,”Mechanics
of 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,”
Mechanics
of 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 Postbuckling
with 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 TwoDimensional 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 Micropolar
Elasticity,” 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 of
the ElasticPlastic ShanleyHutchinson 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 of
nonlinear 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 TwoDimensional 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 Micropolar
Elasticity,” 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 of
the ElasticPlastic ShanleyHutchinson 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 of
nonlinear 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 Micropolar
Elasticity,” 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 of
the ElasticPlastic ShanleyHutchinson 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 of
nonlinear 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 of
the ElasticPlastic ShanleyHutchinson 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 of
nonlinear 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 of
nonlinear 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 of
nonlinear 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 Teaching
1967–75 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 Problems
of Elasticity.
Brittle Frac
ture Mechanics and Application of Complex Functional Analysis to Plane Problems
of Elasticity.
1972–88
1998–2006
In 1972 Esben Byskov established the first Danish course on The Finite Element
Method.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 Icelandic
Society 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 Element
Method.
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 Icelandic
Society 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 Icelandic
Society 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 of
Denmark.
[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 to
Structural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hard
copy: ISBN 9789400757653, eBook: ISBN 9789400757660.
Mathematical Theory for Cracks in Brittle Materials (in part in Danish), Ph.D. Thesis (1970) Department of Structural Engineering, Technical University of
Denmark.
[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 to
Structural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hard
copy: ISBN 9789400757653, eBook: ISBN 9789400757660.
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 to
Structural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hard
copy: ISBN 9789400757653, eBook: ISBN 9789400757660.
Elementary Continuum Mechanics for Everyone. With Applications to
Structural Mechanics, Solid Mechanics and Its Applications, Vol. 194, Springer. Hard
copy: ISBN 9789400757653, eBook: ISBN 9789400757660.
, Solid Mechanics and Its Applications, Vol. 194, Springer. Hard
copy: ISBN 9789400757653, eBook: ISBN 9789400757660.
8 Awards etc.
1967 Third Prize in the “International Competition on a Permanent Connection Across the
Great Belt.”
1989 Award from Reinholdt W. Jorck og hustrus fond.
Reinholdt W. Jorck og hustrus fond.
 Reviews

From the book reviews:
“This book provides an introduction to continuum mechanics with applications of engineering interest. Engineering students are potential readers. The presentation is organized into six parts.” (Raffaele Barretta, Mathematical Reviews, April, 2014)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Elementary Continuum Mechanics for Everyone
 Book Subtitle
 With Applications to Structural Mechanics
 Authors

 Esben Byskov
 Series Title
 Solid Mechanics and Its Applications
 Series Volume
 194
 Copyright
 2013
 Publisher
 Springer Netherlands
 Copyright Holder
 Springer Science+Business Media Dordrecht
 eBook ISBN
 9789400757660
 DOI
 10.1007/9789400757660
 Hardcover ISBN
 9789400757653
 Softcover ISBN
 9789400795587
 Series ISSN
 09250042
 Edition Number
 1
 Number of Pages
 XXX, 593
 Topics