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[1] Arif Masud,et al. A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity , 2005 .
[2] C. Kadapa. Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains , 2019, International Journal for Numerical Methods in Engineering.
[3] T. Hughes,et al. B¯ and F¯ projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements , 2008 .
[4] P. Wriggers,et al. On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations , 2017 .
[5] J. Bonet,et al. A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications , 1998 .
[6] B. Carnes,et al. A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach , 2016 .
[7] C. Miehe,et al. Aspects of the formulation and finite element implementation of large strain isotropic elasticity , 1994 .
[8] A. McBride,et al. Computational electro‐elasticity and magneto‐elasticity for quasi‐incompressible media immersed in free space , 2016 .
[9] Petr Krysl,et al. Mean‐strain eight‐node hexahedron with optimized energy‐sampling stabilization for large‐strain deformation , 2015 .
[10] Jean E. Roberts,et al. Mixed and hybrid finite element methods , 1987 .
[11] M. Bercovier. Perturbation of mixed variational problems. Application to mixed finite element methods , 1978 .
[12] Erwan Verron,et al. Comparison of Hyperelastic Models for Rubber-Like Materials , 2006 .
[13] S. Reese,et al. Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics , 2018 .
[14] Stephen John Connolly,et al. Higher‐order and higher floating‐point precision numerical approximations of finite strain elasticity moduli , 2019, International Journal for Numerical Methods in Engineering.
[15] Herbert A. Mang,et al. 3D finite element analysis of rubber‐like materials at finite strains , 1994 .
[16] J. C. Simo,et al. On the Variational Foundations of Assumed Strain Methods , 1986 .
[17] Gerhard Starke,et al. Least-Squares Galerkin Methods for Parabolic Problems II: The Fully Discrete Case and Adaptive Algorithms , 2001, SIAM J. Numer. Anal..
[18] M. Shephard,et al. A stabilized mixed finite element method for finite elasticity.: Formulation for linear displacement and pressure interpolation , 1999 .
[19] Stefanie Reese,et al. A new stabilization technique for finite elements in non-linear elasticity , 1999 .
[20] Kenji Amaya,et al. F‐bar aided edge‐based smoothed finite element method using tetrahedral elements for finite deformation analysisof nearly incompressible solids , 2017 .
[21] Mahmood Jabareen,et al. On the Modeling of Electromechanical Coupling in Electroactive Polymers Using the Mixed Finite Element Formulation , 2015 .
[22] Peter Wriggers,et al. Efficient virtual element formulations for compressible and incompressible finite deformations , 2017 .
[23] Zhigang Suo,et al. A dynamic finite element method for inhomogeneous deformation and electromechanical instability of dielectric elastomer transducers , 2012 .
[24] Peter Wriggers,et al. Finite element formulations for large strain anisotropic material with inextensible fibers , 2016, Adv. Model. Simul. Eng. Sci..
[25] Xianyi Zeng,et al. A velocity/stress mixed stabilized nodal finite element for elastodynamics: Analysis and computations with strongly and weakly enforced boundary conditions , 2017 .
[26] Andreas Menzel,et al. Phenomenological modeling of viscous electrostrictive polymers , 2012 .
[27] Yuki Onishi. F-Bar Aided Edge-Based Smoothed Finite Element Method with 4-Node Tetrahedral Elements for Static Large Deformation Elastoplastic Problems , 2019, International Journal of Computational Methods.
[28] Weimin Han,et al. On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity , 1997 .
[29] Paul Steinmann,et al. More hyperelastic models for rubber-like materials: consistent tangent operators and comparative study , 2013 .
[30] Lloyd N. Trefethen,et al. How Fast are Nonsymmetric Matrix Iterations? , 1992, SIAM J. Matrix Anal. Appl..
[31] D. Peric,et al. Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials , 2016 .
[32] Peter Wriggers,et al. On enhanced strain methods for small and finite deformations of solids , 1996 .
[33] Yuri Bazilevs,et al. Treatment of near-incompressibility in meshfree and immersed-particle methods , 2020, Computational Particle Mechanics.
[34] S. Doll,et al. On the Development of Volumetric Strain Energy Functions , 2000 .
[35] Thomas A. Manteuffel,et al. First-Order System Least Squares for Geometrically Nonlinear Elasticity , 2006, SIAM J. Numer. Anal..
[36] I. Duff,et al. Direct Methods for Sparse Matrices , 1987 .
[37] O. C. Zienkiewicz,et al. The Finite Element Method for Solid and Structural Mechanics , 2013 .
[38] Jack Dongarra,et al. Numerical Linear Algebra for High-Performance Computers , 1998 .
[39] J. C. Simo,et al. Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms , 1991 .
[40] David S. Watkins,et al. Fundamentals of Matrix Computations: Watkins/Fundamentals of Matrix Computations , 2005 .
[41] Gerhard Starke,et al. Least-Squares Galerkin Methods for Parabolic Problems I: Semidiscretization in Time , 2001, SIAM J. Numer. Anal..
[42] Thao D. Nguyen,et al. Viscoelastic effects on electromechanical instabilities in dielectric elastomers , 2013 .
[43] Manuel Tur,et al. A modified perturbed Lagrangian formulation for contact problems , 2015 .
[44] Rogelio Ortigosa,et al. A computational framework for large strain nearly and truly incompressible electromechanics based on convex multi-variable strain energies , 2016 .
[45] D. Peric,et al. NURBS based least‐squares finite element methods for fluid and solid mechanics , 2015 .
[46] Nicholas I. M. Gould,et al. A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations , 2007, TOMS.
[47] P. Krysl,et al. Mean‐strain 10‐node tetrahedron with energy‐sampling stabilization for nonlinear deformation , 2017 .
[48] Harold S. Park,et al. A staggered explicit–implicit finite element formulation for electroactive polymers , 2018, Computer Methods in Applied Mechanics and Engineering.
[49] Alexander Düster,et al. The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries , 2018, Comput. Math. Appl..
[50] J. C. Simo,et al. A perturbed Lagrangian formulation for the finite element solution of contact problems , 1985 .
[51] K. Moerman,et al. Novel hyperelastic models for large volumetric deformations , 2019, International Journal of Solids and Structures.
[52] J. C. Simo,et al. Variational and projection methods for the volume constraint in finite deformation elasto-plasticity , 1985 .
[53] P. Steinmann,et al. Numerical modelling of nonlinear thermo-electro-elasticity , 2017 .
[54] J. C. Simo,et al. Penalty function formulations for incompressible nonlinear elastostatics , 1982 .
[55] R. D. Wood,et al. Nonlinear Continuum Mechanics for Finite Element Analysis , 1997 .
[56] P. Steinmann,et al. Numerical modeling of thermo-electro-viscoelasticity with field-dependent material parameters , 2018, International Journal of Non-Linear Mechanics.
[57] William M. Coombs,et al. Overcoming volumetric locking in material point methods , 2018 .
[58] H. Dal. A quasi‐incompressible and quasi‐inextensible element formulation for transversely isotropic materials , 2018, International Journal for Numerical Methods in Engineering.
[59] Hari S. Viswanathan,et al. A non-locking composite tetrahedron element for the combined finite discrete element method , 2016 .
[60] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[61] E. A. S. Neto,et al. F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking , 2005 .
[62] Peter Wriggers,et al. An improved EAS brick element for finite deformation , 2010 .
[63] C. Kadapa. Mixed Galerkin and Least-Squares formulations for Isogeometric analysis , 2014 .
[64] David S. Watkins,et al. Fundamentals of matrix computations , 1991 .
[65] Peter Wriggers,et al. An extension of assumed stress finite elements to a general hyperelastic framework , 2019, Adv. Model. Simul. Eng. Sci..
[66] Richard Barrett,et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.
[67] P. Steinmann,et al. Experimental and numerical investigations of the electro-viscoelastic behavior of VHB 4905TM , 2019, European Journal of Mechanics - A/Solids.
[68] G. R. Liu,et al. A Locking-Free Face-Based S-FEM via Averaging Nodal Pressure using 4-Nodes Tetrahedrons for 3D Explicit Dynamics and Quasi-statics , 2018, International Journal of Computational Methods.
[69] D. Owen,et al. Design of simple low order finite elements for large strain analysis of nearly incompressible solids , 1996 .
[70] Donald Mackenzie,et al. Isotropic hyperelasticity in principal stretches: explicit elasticity tensors and numerical implementation , 2019, Computational Mechanics.
[71] Hamid Reza Bayat,et al. A low-order locking-free hybrid discontinuous Galerkin element formulation for large deformations , 2017 .
[72] Antonio Huerta,et al. A superconvergent hybridisable discontinuous Galerkin method for linear elasticity , 2018, International Journal for Numerical Methods in Engineering.
[73] Paul Steinmann,et al. Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data , 2012 .
[74] J. M. Kennedy,et al. Hourglass control in linear and nonlinear problems , 1983 .
[75] Antonio Huerta,et al. A locking-free face-centred finite volume (FCFV) method for linear elastostatics , 2018, Computers & Structures.
[76] R. Codina,et al. Mixed stabilized finite element methods in nonlinear solid mechanics: Part I: Formulation , 2010 .
[77] Paul Steinmann,et al. Hyperelastic analysis based on a polygonal finite element method , 2018 .
[78] Nabil H. Abboud,et al. Elastoplasticity with linear tetrahedral elements: A variational multiscale method , 2018 .
[79] C. A. Saracibar,et al. A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations , 2002 .
[80] M. Jabareen,et al. A reduced mixed finite-element formulation for modeling the viscoelastic response of electro-active polymers at finite deformation , 2018, Mathematics and Mechanics of Solids.
[81] Mokarram Hossain,et al. Eight-chain and full-network models and their modified versions for rubber hyperelasticity: a comparative study , 2015 .
[82] Stefan Hartmann,et al. Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility , 2003 .
[83] C. Kadapa. Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Applications to linear nearly incompressible elastostatics and implicit and explicit elastodynamics , 2018, International Journal for Numerical Methods in Engineering.
[84] Sergio Pissanetzky,et al. Sparse Matrix Technology , 1984 .
[85] Hamid Reza Bayat,et al. On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems , 2018, Advanced Modeling and Simulation in Engineering Sciences.
[86] Thomas J. R. Hughes,et al. A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation , 1988 .
[87] E. A. de Souza Neto,et al. An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains , 2004 .
[88] T. Belytschko,et al. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control , 1981 .