Elementary continuum mechanics for everyone : with applications to structural mechanics

Title:

Personal Author:

Byskov, Esben, author

Series:

Solid mechanics and its applications ; v 194

Publication Information:

Dordrecht ; New York : Springer, c2013

Physical Description:

xxx, 577 pages : illustrations ; 24 cm.

ISBN:

9789400757653

Abstract:

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

Subject Term:

Continuum mechanics

Structural analysis (Engineering)

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Summary

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.

Author Notes

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, 2013

1 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: 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, 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 IntensityFactors 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 th

Year 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 Elastic-Plastic 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 Elastic-Plastic 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 Elastic-Plastic 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 andMachines, 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 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 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 Elastic-Plastic Shanley-Hutchinson Model Column," Journal of Mechanicsaf 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 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 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 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 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 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 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 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 of

nonlinear elastic structu