Stability and patch test performance of contact discretizations and a new solution algorithm

By N. El-Abbasi, Klaus-J Urgen Bathe. 2001

217 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a15c4c71b3d41a9082d3c3bac7ced4b032bd0851

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In Computational Theory and Mathematics

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm (2005, unknown): “Owing to the approximations made in this step, complete agreement cannot be obtained.”
Isogeometric contact analysis using mortar method (2012, methodology): “However, this method, applied in a single pass algorithm, which checks unidirectional penetration of the slave nodes on the master segment, does not pass the patch test [20, 23].”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, background): “The well-known node-to-surface formulation, while simple and computationally inexpensive, is affected by several pathologies [44], and has been shown not to satisfy the contact patch test [11,38,45], which implies that the errors introduced at the contacting surfaces do not necessarily decrease with”
Isogeometric contact: a review (2014, methodology): “However, most of them do not fulfil the LBB stability condition (El-Abbasi and Bathe 2001).”
Finite element developments for general fluid flows with structural interactions (2004, methodology): “The finite element procedures used to model the structures in particular including contact conditions are described elsewhere [9, 17].”
Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme (2007, background): “Also, contact conditions can directly be accounted for in terms of Lagrange multipliers or penalty procedures, always considering only the conditions at the discrete times used above [1] [17].”
A modified node‐to‐segment algorithm passing the contact patch test (2009, background): “Case test C, whose geometry is depicted in Figure 20(a), has been proposed by El-Abbasi and Bathe [14].”
Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration (2010, background): “In particular, the local errors at the contact region do not necessarily diminish with mesh refinement (see El-Abassi and Bathe [10]).”
A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method (2009, methodology): “Numerically, the Chapelle–Bathe test is used quite often (Chapelle and Bathe 1993; El-Abbasi and Bathe 2001) to verify the inf-sup condition.”