An unbiased Nitsche’s formulation of large deformation frictional contact and self-contact
暂无分享,去创建一个
[1] Franz Chouly,et al. A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis , 2013, SIAM J. Numer. Anal..
[2] A. Klarbring,et al. Continuum Mechanics Modelling of Large Deformation Contact with Friction , 1995 .
[3] Franz Chouly,et al. Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments , 2014, Math. Comput..
[4] M. Puso,et al. A mortar segment-to-segment contact method for large deformation solid mechanics , 2004 .
[5] R. D. Wood,et al. Nonlinear Continuum Mechanics for Finite Element Analysis , 1997 .
[6] L. Baillet,et al. Mixed finite element formulation in large deformation frictional contact problem , 2005, math/0502162.
[7] J. C. Simo,et al. An augmented lagrangian treatment of contact problems involving friction , 1992 .
[8] J. C. Simo,et al. A continuum-based finite element formulation for the implicit solution of multibody, large deformation-frictional contact problems , 1993 .
[9] Franz Chouly,et al. An adaptation of Nitscheʼs method to the Tresca friction problem , 2014 .
[10] Erik Burman,et al. A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions , 2011, SIAM J. Numer. Anal..
[11] Peter Wriggers,et al. Mortar based frictional contact formulation for higher order interpolations using the moving friction cone , 2006 .
[12] J. Nitsche. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind , 1971 .
[13] J. Oden,et al. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .
[14] Yves Renard,et al. Generalized Newton’s methods for the approximation and resolution of frictional contact problems in elasticity , 2013 .
[15] Alexander Konyukhov,et al. Computational Contact Mechanics , 2013 .
[16] Peter Hansbo,et al. The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem , 2016, SIAM J. Numer. Anal..
[17] P. Alart,et al. A generalized Newton method for contact problems with friction , 1988 .
[18] Patrick Hild,et al. Numerical Implementation of Two Nonconforming Finite Element Methods for Unilateral Contact , 2000 .
[19] Javier Oliver,et al. A contact domain method for large deformation frictional contact problems. Part 1: Theoretical basis , 2009 .
[20] T. Laursen,et al. A mortar‐finite element formulation for frictional contact problems , 2000 .
[21] Franz Chouly,et al. An unbiased Nitsche’s approximation of the frictional contact between two elastic structures , 2018, Numerische Mathematik.
[22] P. Wriggers,et al. A mortar-based frictional contact formulation for large deformations using Lagrange multipliers , 2009 .
[23] John E. Dolbow,et al. A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces , 2013 .
[24] Konstantinos Poulios,et al. An unconstrained integral approximation of large sliding frictional contact between deformable solids , 2015 .
[25] Peter Wriggers,et al. Frictionless 2D Contact formulations for finite deformations based on the mortar method , 2005 .
[26] Barbara I. Wohlmuth,et al. Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact , 2012, SIAM J. Sci. Comput..
[27] Peter Wriggers,et al. Computational Contact Mechanics , 2002 .
[28] T. Laursen. Computational Contact and Impact Mechanics , 2003 .
[29] Wolfgang A. Wall,et al. Segment-based vs. element-based integration for mortar methods in computational contact mechanics , 2015 .
[30] Patrick Hild,et al. A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics , 2010, Numerische Mathematik.
[31] P. Hansbo,et al. A finite element method for the simulation of strong and weak discontinuities in solid mechanics , 2004 .
[32] P. Wriggers,et al. A formulation for frictionless contact problems using a weak form introduced by Nitsche , 2007 .
[33] Roger A. Sauer,et al. An unbiased computational contact formulation for 3D friction , 2015 .
[34] M. A. Crisfield,et al. Re‐visiting the contact patch test , 2000 .
[35] Keith Hjelmstad,et al. A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements , 2007 .
[36] M. Puso,et al. A 3D contact smoothing method using Gregory patches , 2002 .