DOI: 10.1016/0020-7683(75)90033-5. Finite-element formulations for problems of large elastic-plastic deformation

Finite-element formulations for problems of large elastic-plastic deformation

10.1016/0020-7683(75)90033-5

Crossref journal-article

Elsevier BV

International Journal of Solids and Structures (78)

Bibliography

McMeeking, R. M., & Rice, J. R. (1975). Finite-element formulations for problems of large elastic-plastic deformation. International Journal of Solids and Structures, 11(5), 601â616.

Authors 2

R.M. McMeeking (first)
J.R. Rice (additional)

References 27 Referenced 639

10.1016/0020-7683(70)90048-X / Int. J. Solids Struct. / A finite element formulation for problems of large strain and large displacement by Hibbitt (1970)
10.1016/0022-5096(72)90035-X / J. Mech. Phys. Solids / A numerical study of necking in circular cylindrical bars by Needleman (1972)
10.1016/0022-5096(59)90007-9 / J. Mech. Phys. Solids / Some basic principles in the mechanics of solids without a natural time by Hill (1959)
{'key': '10.1016/0020-7683(75)90033-5_BIB4', 'series-title': 'Numerical Solution of Nonlinear Structural Problems', 'first-page': '31', 'article-title': 'Computer implementation of nonlinear finite element analysis', 'author': 'Felippa', 'year': '1973'} / Numerical Solution of Nonlinear Structural Problems / Computer implementation of nonlinear finite element analysis by Felippa (1973)
10.1016/0020-7683(71)90052-7 / Int. J. Solids Struct. / Incremental analysis of large deflections of shells of revolution by Yaghmai (1971)
{'key': '10.1016/0020-7683(75)90033-5_SB0030', 'series-title': 'First International Conference on Structural Mechanics in Reactor Technology 4J', 'article-title': 'Large deflection elastic-plastic analysis of shells of revolution', 'author': 'Yaghmai', 'year': '1971'} / First International Conference on Structural Mechanics in Reactor Technology 4J / Large deflection elastic-plastic analysis of shells of revolution by Yaghmai (1971)
10.2514/3.50510 / AIAA Journal / Nonlinear finite element analysis of sandwich shells of revolution by Sharifi (1973)
{'key': '10.1016/0020-7683(75)90033-5_BIB7', 'series-title': 'Symposium on Foundations of Plasticity', 'first-page': '125', 'article-title': 'Matrix analysis of the large deformation of an elastic-plastic axially symmetric continuum', 'author': 'Gunasekera', 'year': '1973'} / Symposium on Foundations of Plasticity / Matrix analysis of the large deformation of an elastic-plastic axially symmetric continuum by Gunasekera (1973)
{'key': '10.1016/0020-7683(75)90033-5_BIB8', 'series-title': 'Symposium on Foundations of Plasticity', 'first-page': '147', 'article-title': 'Static and dynamic elasto-plastic analysis by the method of finite elements in space and time', 'author': 'Argyris', 'year': '1973'} / Symposium on Foundations of Plasticity / Static and dynamic elasto-plastic analysis by the method of finite elements in space and time by Argyris (1973)
{'key': '10.1016/0020-7683(75)90033-5_BIB9', 'article-title': 'Finite Deformation of Elasto-Plastic Solids, The Example of Necking in Flat Tensile Bars', 'author': 'Osias', 'year': '1972'} / Finite Deformation of Elasto-Plastic Solids, The Example of Necking in Flat Tensile Bars by Osias (1972)
10.1137/0125045 / SIAM J. Appl. Math. / Elastic potentials and the structure of inelastic constitutive laws by Hill (1973)
10.1016/0022-5096(68)90031-8 / J. Mech. Phys. Solids / On constitutive inequalities for simple materials I and II by Hill (1968)
10.1016/0022-5096(68)90018-5 / J. Mech. Phys. Solids / On constitutive inequalities for simple materials I and II by Hill (1968)
{'key': '10.1016/0020-7683(75)90033-5_BIB12', 'series-title': 'Recent Progress in Applied Mechanics (The Folke Odquist Volume)', 'first-page': '241', 'article-title': 'On the classical constitutive relations for elastic/plastic solids', 'author': 'Hill', 'year': '1967'} / Recent Progress in Applied Mechanics (The Folke Odquist Volume) / On the classical constitutive relations for elastic/plastic solids by Hill (1967)
{'key': '10.1016/0020-7683(75)90033-5_BIB13', 'series-title': 'The Mathematical Theory of Plasticity', 'author': 'Hill', 'year': '1950'} / The Mathematical Theory of Plasticity by Hill (1950)
B. Budiansky, Private communication with W. H. Chen. Ref. 12 in Chen[17] and referenced by Needleman [2].
J. R. Rice, Private communication with J. W. Hutchinson (1973).
{'key': '10.1016/0020-7683(75)90033-5_BIB16', 'series-title': 'Numerical Solution of Nonlinear Structural Problems', 'first-page': '17', 'article-title': 'Finite strain analysis of elastic-plastic solids and structures', 'author': 'Hutchinson', 'year': '1973'} / Numerical Solution of Nonlinear Structural Problems / Finite strain analysis of elastic-plastic solids and structures by Hutchinson (1973)
10.1016/0020-7683(71)90088-6 / Int. J. Solids Struct. / Necking of a bar by Chen (1971)
{'key': '10.1016/0020-7683(75)90033-5_BIB18', 'article-title': 'An Eulerian Finite Element Formulation for Problems of Large Displacement Gradients', 'author': 'McMeeking', 'year': '1974'} / An Eulerian Finite Element Formulation for Problems of Large Displacement Gradients by McMeeking (1974)
{'key': '10.1016/0020-7683(75)90033-5_BIB19', 'first-page': '7', 'article-title': 'Variational principles in the mathematical theory of plasticity', 'volume': '8', 'author': 'Drucker', 'year': '1958'} / Variational principles in the mathematical theory of plasticity by Drucker (1958)
{'key': '10.1016/0020-7683(75)90033-5_BIB20', 'article-title': 'On the Fracture Mechanics Analysis of Elastic-Plastic Materials Using the Finite Element Method', 'author': 'Tracey', 'year': '1973'} / On the Fracture Mechanics Analysis of Elastic-Plastic Materials Using the Finite Element Method by Tracey (1973)
10.1016/0020-7403(67)90004-5 / Int. J. Mech. Sci. / Elastic-plastic analysis of two-dimensional stress systems by the finite element method by Marcal (1967)
{'key': '10.1016/0020-7683(75)90033-5_BIB22', 'series-title': 'Numerical and Computer Methods in Structural Mechanics', 'first-page': '585', 'article-title': 'Computational fracture mechanics', 'author': 'Rice', 'year': '1973'} / Numerical and Computer Methods in Structural Mechanics / Computational fracture mechanics by Rice (1973)
10.1016/0045-7825(74)90032-2 / Comp. Meth. Appl. Mech. Engng / On numerically accurate finite element solutions in the fully plastic range by Nagtegaal (1974)
{'key': '10.1016/0020-7683(75)90033-5_BIB24', 'series-title': 'Proc. Fourth U.S. Cong. Appl. Mech.', 'first-page': '1023', 'article-title': 'The initiation of necking and buckling in plane plastic flow', 'author': 'Cowper', 'year': '1962'} / Proc. Fourth U.S. Cong. Appl. Mech. / The initiation of necking and buckling in plane plastic flow by Cowper (1962)
10.1016/0022-5096(73)90017-3 / J. Mech. Phys. Solids / Post-bifurcation behavior in the plastic range by Hutchinson (1973)

Dates

Type	When
Created	22 years, 5 months ago (March 14, 2003, 7:51 p.m.)
Deposited	6 years, 4 months ago (March 25, 2019, 4:27 p.m.)
Indexed	2 weeks, 4 days ago (Aug. 6, 2025, 9:13 a.m.)
Issued	50 years, 3 months ago (May 1, 1975)
Published	50 years, 3 months ago (May 1, 1975)
Published Print	50 years, 3 months ago (May 1, 1975)

Funders 0

None

BibTeX

@article{McMeeking_1975, title={Finite-element formulations for problems of large elastic-plastic deformation}, volume={11}, ISSN={0020-7683}, url={http://dx.doi.org/10.1016/0020-7683(75)90033-5}, DOI={10.1016/0020-7683(75)90033-5}, number={5}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={McMeeking, R.M. and Rice, J.R.}, year={1975}, month=may, pages={601–616} }

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