Modeling of impact problems using an h-adaptive, explicit Lagrangian finite element method in three dimensions

Invertible finite elements for robust simulation of large deformation

“…[CO97,EZE98] and the references therein), etc. However, as noted in [BBTL03], these approaches are often computationally intensive and difficult to implement, which has primarily limited their use to two spatial dimensions. Moreover, [BBTL03] points out that these difficulties often lead authors to less optimal techniques such as element deletion.…”

“…However, as noted in [BBTL03], these approaches are often computationally intensive and difficult to implement, which has primarily limited their use to two spatial dimensions. Moreover, [BBTL03] points out that these difficulties often lead authors to less optimal techniques such as element deletion. This not only degrades the accuracy of the simulation, but is unsuitable for graphics applications where disappearing tetrahedra cause visual artifacts.…”

Numerical Modelling of Contact Elastic-Plastic Flows

“…"Integration algorithm in plasticity have been introduced by Wilkins in the form of radial return algorithm with reference to the Mises criterion, and successively extended by Krieg and Key to the case of isotropic and kinematic hardering" Alfano et al [1]. We refer also to the works by Auricchio [3], Balagansky et al [5], Papadopoulos and Lu [49], Christensen [17], Düster and Rank [20], Howell and Ball [29], Mahnken [41], Parshikov and Medin [50], Rubin and Bodner [55], Le van et al [35], Noels et al [48], Balokhonov et al [6], Cherepanov [15], Fellows and Barton [21], Luccioni et al [39], Wallin and Ristnmaa [64], Kiselev and Kiselev [34], Ponthot [52], Bessette et al [10] and others.…”

Tetrahedral and hexahedral invertible finite elements

“…[2,3] and the references therein), etc. However, as noted in [4], these approaches are often computationally intensive and difficult to implement, which has primarily limited their use to two spatial dimensions. Moreover, Bessette et al [4] points out that these difficulties often lead authors to less optimal techniques such as element deletion.…”

“…However, as noted in [4], these approaches are often computationally intensive and difficult to implement, which has primarily limited their use to two spatial dimensions. Moreover, Bessette et al [4] points out that these difficulties often lead authors to less optimal techniques such as element deletion. This not only degrades the accuracy of the simulation, but is unsuitable for graphics applications where disappearing tetrahedra cause visual artifacts.…”