Keyword

deformation gradient

Description: The deformation gradient is a tensor describing local changes in length, orientation, and volume as a material deforms in continuum mechanics.

Primary topic: Elasticity and Material Modeling (31%)

OpenAlex ID: keywords/deformation-gradient

The Combined Finite‐Discrete Element Method

2004 · Ante Munjiza · Wiley eBooks · 1,389

Nonlinear Continuum Mechanics for Finite Element Analysis

1998 · James M. Bialek · Nuclear Fusion · 911

A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part I. Continuum formulation

1988 · J.C. Simo · Computer Methods in Applied Mechanics and Engineering · 609

Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load

2009 · Wei Hong, Zishun Liu, et al. · International Journal of Solids and Structures · 584

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Remarks on rate constitutive equations for finite deformation problems: computational implications

1984 · J.C. Simo, K.S. Pister · Computer Methods in Applied Mechanics and Engineering · 410

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A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations

2011 · A. Sadeghirad, R. M. Brannon, et al. · International Journal for Numerical Methods in Engineering · 388

Non‐linear version of stabilized conforming nodal integration for Galerkin mesh‐free methods

2002 · Jiun‐Shyan Chen, Sangpil Yoon, et al. · International Journal for Numerical Methods in Engineering · 304

Mesh-based inverse kinematics

2005 · Robert W. Sumner, Matthias Zwicker, et al. · ACM Transactions on Graphics · 266

On the kinematics of finite strain plasticity

1989 · M.C. Boyce, G.G. Weber, et al. · Journal of the Mechanics and Physics of Solids · 255

An Automated Approach for Direct Measurement of Two-Dimensional Strain Distributions Within Articular Cartilage Under Unconfined Compression

2002 · Christopher C-B. Wang, Jian-Ming Deng, et al. · Journal of Biomechanical Engineering · 205

A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes

1992 · K.R. Rajagopal, A.S. Wineman · International Journal of Plasticity · 205

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A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues

1992 · Djordje Perić, D.R.J. Owen, et al. · Computer Methods in Applied Mechanics and Engineering · 194

On the response of non-dissipative solids

2006 · K.R Rajagopal, A.R Srinivasa · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 189

A High-Order Eulerian Godunov Method for Elastic–Plastic Flow in Solids

2001 · G.H. Miller, P. Colella · Journal of Computational Physics · 179

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Averaging theorems in finite deformation plasticity

1999 · Sia Nemat-Nasser · Mechanics of Materials · 179

A generic approach towards finite growth with examples of athlete's heart, cardiac dilation, and cardiac wall thickening

2010 · Serdar Göktepe, Oscar John Abilez, et al. · Journal of the Mechanics and Physics of Solids · 155

A computational framework for polyconvex large strain elasticity

2014 · Javier Bonet, Antonio J. Gil, et al. · Computer Methods in Applied Mechanics and Engineering · 147

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An hourglass control algorithm for Lagrangian Smooth Particle Hydrodynamics

2014 · Georg C. Ganzenmüller · Computer Methods in Applied Mechanics and Engineering · 140

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Deformation gradients for continuum mechanical analysis of atomistic simulations

2008 · Jonathan A. Zimmerman, Douglas J. Bammann, et al. · International Journal of Solids and Structures · 140

Compliant cellular structures: Application to a passive morphing airfoil

2013 · Hyeonu Heo, Jaehyung Ju, et al. · Composite Structures · 136

iGIMP: An implicit generalised interpolation material point method for large deformations

2017 · T.J. Charlton, W.M. Coombs, et al. · Computers & Structures · 131

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Augmented Lagrangian Digital Image Correlation

2018 · J. Yang, K. Bhattacharya · Experimental Mechanics · 128

Global existence for the multi-dimensional compressible viscoelastic flows

2010 · Xianpeng Hu, Dehua Wang · Journal of Differential Equations · 126

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On the formulation of enhanced strain finite elements in finite deformations

1997 · S. Glaser, F. Armero · Engineering Computations · 126

Weak form of bond-associated non-ordinary state-based peridynamics free of zero energy modes with uniform or non-uniform discretization

2019 · Erdogan Madenci, Mehmet Dorduncu, et al. · Engineering Fracture Mechanics · 122

Works count: 1,212

Citation count: 20,630