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2008 | OriginalPaper | Buchkapitel

1. Analytical Mechanics of Solids

verfasst von : Albert S. Kobayashi, Dr., Satya N. Atluri

Erschienen in: Springer Handbook of Experimental Solid Mechanics

Verlag: Springer US

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Abstract

In this chapter we consider certain useful fundamental topics from the vast panorama of the analytical mechanics of solids, which, by itself, has been the subject of several handbooks. The specific topics that are briefly summarized include: elementary theories of material response such as elasticity, dynamic elasticity, viscoelasticity, plasticity, viscoplasticity, and creep; and some useful analytical results for boundary value problems in elasticity.

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Literatur
1.1.
Zurück zum Zitat C. Truesdell (Ed.): Mechanics of Solids. In: Encyclopedia of Physics, Vol. VIa/2 (Springer, Berlin, Heidelberg 1972) C. Truesdell (Ed.): Mechanics of Solids. In: Encyclopedia of Physics, Vol. VIa/2 (Springer, Berlin, Heidelberg 1972)
1.2.
Zurück zum Zitat C. Truesdell, W. Noll: The Nonlinear Field Theories of Mechanics. In: Encyclopedia of Physics, Vol. III/3, ed. by S. Flügge (Springer, Berlin, Heidelberg 1965) C. Truesdell, W. Noll: The Nonlinear Field Theories of Mechanics. In: Encyclopedia of Physics, Vol. III/3, ed. by S. Flügge (Springer, Berlin, Heidelberg 1965)
1.3.
Zurück zum Zitat S.N. Atluri: Alternate stress and conjugate strain measures, and mixed foundations involving rigid rotations for computational analysis of finitely deformed solids, with application to plates and shells. I- Theory, Comput. Struct. 18(1), 93–116 (1986)CrossRefMathSciNet S.N. Atluri: Alternate stress and conjugate strain measures, and mixed foundations involving rigid rotations for computational analysis of finitely deformed solids, with application to plates and shells. I- Theory, Comput. Struct. 18(1), 93–116 (1986)CrossRefMathSciNet
1.4.
Zurück zum Zitat S.N. Atluri: On some new general and complementary energy theorems for rate problems in finite strain, classical elastoplasticty, J. Struct. Mech. 8(1), 61–92 (1980)MathSciNet S.N. Atluri: On some new general and complementary energy theorems for rate problems in finite strain, classical elastoplasticty, J. Struct. Mech. 8(1), 61–92 (1980)MathSciNet
1.5.
Zurück zum Zitat A.C. Eringen: Nonlinear Theory of Continuous Media (McGraw-Hill, New York 1962) A.C. Eringen: Nonlinear Theory of Continuous Media (McGraw-Hill, New York 1962)
1.6.
Zurück zum Zitat R.W. Ogden: Nonlinear Elastic Deformation (Dover, New York 2001) R.W. Ogden: Nonlinear Elastic Deformation (Dover, New York 2001)
1.7.
Zurück zum Zitat Y.C. Fung, P. Tong: Classical and Computational Solid Mechanics (World Scientific, Singapore 2001)MATH Y.C. Fung, P. Tong: Classical and Computational Solid Mechanics (World Scientific, Singapore 2001)MATH
1.8.
Zurück zum Zitat M. Mooney: A theory of large elastic deformation, J. Appl. Phys. 11, 582–592 (1940)CrossRef M. Mooney: A theory of large elastic deformation, J. Appl. Phys. 11, 582–592 (1940)CrossRef
1.9.
Zurück zum Zitat A. Abel, R.H. Ham: The cyclic strain behavior of crystal aluminum-4 % copper, the Bauschinger effect, Acta Metallur. 14, 1489–1494 (1966)CrossRef A. Abel, R.H. Ham: The cyclic strain behavior of crystal aluminum-4 % copper, the Bauschinger effect, Acta Metallur. 14, 1489–1494 (1966)CrossRef
1.10.
Zurück zum Zitat A. Abel, H. Muir: The Bauschinger effect and stacking fault energy, Phil. Mag. 27, 585–594 (1972)CrossRef A. Abel, H. Muir: The Bauschinger effect and stacking fault energy, Phil. Mag. 27, 585–594 (1972)CrossRef
1.11.
Zurück zum Zitat G.I. Taylor, H. Quinney: The plastic deformation of metals, Phil. Trans. A 230, 323–362 (1931) G.I. Taylor, H. Quinney: The plastic deformation of metals, Phil. Trans. A 230, 323–362 (1931)
1.12.
Zurück zum Zitat R. Hill: The Mathematical Theory of Plasticity (Oxford Univ. Press, New York 1950)MATH R. Hill: The Mathematical Theory of Plasticity (Oxford Univ. Press, New York 1950)MATH
1.13.
Zurück zum Zitat W. Prager: A new method of analyzing stress and strains in work-hardening plastic solids, J. Appl. Mech. 23, 493–496 (1956)MATHMathSciNet W. Prager: A new method of analyzing stress and strains in work-hardening plastic solids, J. Appl. Mech. 23, 493–496 (1956)MATHMathSciNet
1.14.
1.15.
Zurück zum Zitat D.C. Drucker: A more fundamental approach to plane stress-strain relations, Proc. 1st U.S. Nat. Congr. Appl. Mech. (1951) pp. 487–491 D.C. Drucker: A more fundamental approach to plane stress-strain relations, Proc. 1st U.S. Nat. Congr. Appl. Mech. (1951) pp. 487–491
1.16.
Zurück zum Zitat S. Nemat-Nasser: Continuum bases for consistent numerical foundations of finite strains in elastic and inelastic structures. In: Finite Element Analysis of Transient Nonlinear Structural Behavior, AMD, Vol. 14, ed. by T. Belytschko, J.R. Osias, P.V. Marcal (ASME, New York 1975) pp. 85–98 S. Nemat-Nasser: Continuum bases for consistent numerical foundations of finite strains in elastic and inelastic structures. In: Finite Element Analysis of Transient Nonlinear Structural Behavior, AMD, Vol. 14, ed. by T. Belytschko, J.R. Osias, P.V. Marcal (ASME, New York 1975) pp. 85–98
1.17.
Zurück zum Zitat S.N. Atluri: On constitutive relations in finite strain hypoelasticity and elastoplasticity with isotropic or kinematic hardening, Comput. Meth. Appl. Mech. Eng. 43, 137–171 (1984)CrossRefMATH S.N. Atluri: On constitutive relations in finite strain hypoelasticity and elastoplasticity with isotropic or kinematic hardening, Comput. Meth. Appl. Mech. Eng. 43, 137–171 (1984)CrossRefMATH
1.18.
Zurück zum Zitat Y. Yamada, N. Yoshimura, T. Sakurai: Plastic stress-strain matrix and its application to the solution of elastic-plastic problems by the finite element method, Int. J. Mech. Sci. 10, 343–354 (1968)CrossRefMATH Y. Yamada, N. Yoshimura, T. Sakurai: Plastic stress-strain matrix and its application to the solution of elastic-plastic problems by the finite element method, Int. J. Mech. Sci. 10, 343–354 (1968)CrossRefMATH
1.19.
Zurück zum Zitat K. Valanis: Fundamental consequences of a new intrinsic tune measure plasticity as a limit of the endochronic theory, Arch. Mech. 32(2), 171–191 (1980)MATHMathSciNet K. Valanis: Fundamental consequences of a new intrinsic tune measure plasticity as a limit of the endochronic theory, Arch. Mech. 32(2), 171–191 (1980)MATHMathSciNet
1.20.
Zurück zum Zitat Z. Mroz: An attempt to describe the behavior of metals under cyclic loads using a more general workhardening model, Acta Mech. 7, 199–212 (1969)CrossRefMathSciNet Z. Mroz: An attempt to describe the behavior of metals under cyclic loads using a more general workhardening model, Acta Mech. 7, 199–212 (1969)CrossRefMathSciNet
1.21.
Zurück zum Zitat O. Watanabe, S.N. Atluri: Constitutive modeling of cyclic plasticity and creep using an internal time concept, Int. J. Plast. 2(2), 107–134 (1986)CrossRefMATH O. Watanabe, S.N. Atluri: Constitutive modeling of cyclic plasticity and creep using an internal time concept, Int. J. Plast. 2(2), 107–134 (1986)CrossRefMATH
1.22.
Zurück zum Zitat E.C. Bingham: Fluidity and Plasticity (McGraw-Hill, New York 1922) E.C. Bingham: Fluidity and Plasticity (McGraw-Hill, New York 1922)
1.23.
Zurück zum Zitat K. Hohenemser, W. Prager: Über die Ansätze der Mechanik isotroper Kontinua, Z. Angew. Math. Mech. 12, 216–226 (1932)CrossRef K. Hohenemser, W. Prager: Über die Ansätze der Mechanik isotroper Kontinua, Z. Angew. Math. Mech. 12, 216–226 (1932)CrossRef
1.24.
Zurück zum Zitat I. Finnie, W.R. Heller: Creep of Engineering Materials (McGraw-Hill, New York 1959) I. Finnie, W.R. Heller: Creep of Engineering Materials (McGraw-Hill, New York 1959)
1.25.
Zurück zum Zitat P. Perzyna: The constitutive equations for rate sensitive plastic materials, Quart. Appl. Mech. XX(4), 321–332 (1963)MathSciNet P. Perzyna: The constitutive equations for rate sensitive plastic materials, Quart. Appl. Mech. XX(4), 321–332 (1963)MathSciNet
1.26.
Zurück zum Zitat O.C. Zienkiewicz, C. Corneau: Visco-plasticity, plasticity and creep in elastic solids – a unified numerical solution approach, Int. J. Numer. Meth. Eng. 8, 821–845 (1974)CrossRefMATH O.C. Zienkiewicz, C. Corneau: Visco-plasticity, plasticity and creep in elastic solids – a unified numerical solution approach, Int. J. Numer. Meth. Eng. 8, 821–845 (1974)CrossRefMATH
1.27.
Zurück zum Zitat J.H. Argyris, M. Keibler: Incremental formulation in nonlinear mechanics and large strain elasto-plasticity – natural approach – Part I, Comput. Methods Appl. Mech. Eng. 11, 215–247 (1977)CrossRefMATH J.H. Argyris, M. Keibler: Incremental formulation in nonlinear mechanics and large strain elasto-plasticity – natural approach – Part I, Comput. Methods Appl. Mech. Eng. 11, 215–247 (1977)CrossRefMATH
1.28.
Zurück zum Zitat G.N. Savin: Stress Concentration Around Holes (Pergamon, Elmsford, 1961) G.N. Savin: Stress Concentration Around Holes (Pergamon, Elmsford, 1961)
1.29.
Zurück zum Zitat A.S. Argon: Constitutive Equations in Plasticity (MIT Press, Cambridge, 1975) A.S. Argon: Constitutive Equations in Plasticity (MIT Press, Cambridge, 1975)
1.30.
Zurück zum Zitat A.L. Anand: Constitutive equations for rate independent, isotropicelastic-plastic solid exhibitive pressure sensitive yielding and plastic dilatancy, J. Appl. Mech. 47, 439–441 (1980)CrossRefMATH A.L. Anand: Constitutive equations for rate independent, isotropicelastic-plastic solid exhibitive pressure sensitive yielding and plastic dilatancy, J. Appl. Mech. 47, 439–441 (1980)CrossRefMATH
Metadaten
Titel
Analytical Mechanics of Solids
verfasst von
Albert S. Kobayashi, Dr.
Satya N. Atluri
Copyright-Jahr
2008
Verlag
Springer US
DOI
https://doi.org/10.1007/978-0-387-30877-7_1

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