Isogeometric contact: a review

L De Lorenzis, P Wriggers, TJR Hughes - GAMM‐Mitteilungen, 2014 - Wiley Online Library
This paper reviews the currently available computational contact formulations within the
framework of isogeometric analysis (IGA). As opposed to conventional Lagrange …

Dual mortar methods for computational contact mechanics–overview and recent developments

A Popp, WA Wall - GAMM‐Mitteilungen, 2014 - Wiley Online Library
Mortar‐based finite element discretization in computational contact mechanics has seen a
great thrust of research activities over the last years. In this contribution, we review the most …

Contact treatment in isogeometric analysis with NURBS

I Temizer, P Wriggers, TJR Hughes - Computer Methods in Applied …, 2011 - Elsevier
We study NURBS-based isogeometric analysis of contact problems and compare with
standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is …

Variationally consistent discretization schemes and numerical algorithms for contact problems

B Wohlmuth - Acta Numerica, 2011 - cambridge.org
We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS

I Temizer, P Wriggers, TJR Hughes - Computer Methods in Applied …, 2012 - Elsevier
A three-dimensional mortar-based frictional contact treatment in isogeometric analysis with
NURBS is presented in the finite deformation regime. Within a setting where the NURBS …

A dual mortar approach for 3D finite deformation contact with consistent linearization

A Popp, M Gitterle, MW Gee… - International Journal for …, 2010 - Wiley Online Library
In this paper, an approach for three‐dimensional frictionless contact based on a dual mortar
formulation and using a primal–dual active set strategy for direct constraint enforcement is …

Isogeometric large deformation frictionless contact using T-splines

R Dimitri, L De Lorenzis, MA Scott, P Wriggers… - Computer methods in …, 2014 - Elsevier
T-spline-based isogeometric analysis is applied to frictionless contact problems between
deformable bodies in the context of large deformations. The continuum is discretized with …

A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics

M Zhou, Q Fang, C Peng - Applied Mathematical Modelling, 2022 - Elsevier
A segment-to-segment mortar frictionless contact method for total-Lagrangian smoothed
particle hydrodynamics is presented in this work. The smoothed particle hydrodynamics …

Isogeometric dual mortar methods for computational contact mechanics

A Seitz, P Farah, J Kremheller, BI Wohlmuth… - Computer Methods in …, 2016 - Elsevier
In recent years, isogeometric analysis (IGA) has received great attention in many fields of
computational mechanics research. Especially for computational contact mechanics, an …

A mortar segment-to-segment frictional contact approach in material point method

W Liang, H Fang, ZY Yin, J Zhao - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Handling contact problems in the Material Point Method (MPM) has long been a challenge.
Traditional grid-based contact approaches often face issues with mesh dependency, while …