Keyword

strain energy function

Description: A constitutive function expressing stored elastic energy as a function of deformation, used to model nonlinear material behavior.

Primary topic: Elasticity and Material Modeling (70%)

OpenAlex ID: keywords/strain-energy-function

The Physics of Rubber Elasticity

1959 · L. R. G. Treloar, D. J. Montgomery · Physics Today · 3,786

A Theory of Large Elastic Deformation

1940 · M. Mooney · Journal of Applied Physics · 3,586

Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids

1972 · Raymond William Ogden · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 3,109

Some Forms of the Strain Energy Function for Rubber

1993 · O. H. Yeoh · Rubber Chemistry and Technology · 1,627

Non-linear elastic deformations

1984 · R.W. Ogden · Engineering Analysis · 1,537

Stress-Deformation Relations for Isotropic Materials

1997 · R. S. Rivlin, J. L. Ericksen · Springer eBooks · 937

Strain Energy Function of Red Blood Cell Membranes

1973 · R. Skalak, A. Tozeren, et al. · Biophysical Journal · 832

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Finite element implementation of incompressible, transversely isotropic hyperelasticity

1996 · Jeffrey A. Weiss, Bradley N. Maker, et al. · Computer Methods in Applied Mechanics and Engineering · 810

Fitting hyperelastic models to experimental data

2004 · R. W. Ogden, G. Saccomandi, et al. · Computational Mechanics · 775

A pseudo–elastic model for the Mullins effect in filled rubber

1999 · R. W. Ogden, D. G. Roxburgh · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 748

Constitutive equations for fibrous connective tissues

1983 · Y. Lanir · Journal of Biomechanics · 741

Characterization of Elastic Properties of Carbon-Black-Filled Rubber Vulcanizates

1990 · O. H. Yeoh · Rubber Chemistry and Technology · 739

Application of Finite Elastic Theory to the Deformation of Rubbery Materials

1962 · Paul J. Blatz, William L. Ko · Transactions of the Society of Rheology · 689

Nonlinear Theory of Elasticity

1990 · North-Holland series in applied mathematics and mechanics · 659

Foundations of the nonlinear theory of elasticity

1953 · V. V. Novozhilov · University of Michigan Library Repository · 592

Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids

1972 · Raymond William Ogden · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 569

Mechanical characterization of skin—Finite deformations

1970 · D.R. Veronda, R.A. Westmann · Journal of Biomechanics · 555

On the theory of elastic stability

1925 · W. R. Dean · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 530

Constitutive modelling of arteries

2010 · Gerhard A. Holzapfel, Ray W. Ogden · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 528

Nonlinear Composites

1997 · Pedro Ponte Castañeda, Pierre Suquet · Advances in applied mechanics · 527

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Large Deformation Isotropic Elasticity—On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids

1973 · R. W. Ogden · Rubber Chemistry and Technology · 523

Non-linear elastic deformations

1988 · J. Gwinner · Acta Applicandae Mathematicae · 507

A Mixed Variational Formulation Based On Exact Intrinsic Equations For Dynamics Of Moving Beams

1989 · Dewey H. Hodges · International Journal of Solids and Structures · 497

A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber

2003 · A. Dorfmann, R.W. Ogden · International Journal of Solids and Structures · 453

Three-Dimensional Stress Distribution in Arteries

1983 · C. J. Chuong, Y. C. Fung · Journal of Biomechanical Engineering · 441

Works count: 2,809

Citation count: 82,830