A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method

By Laura De Lorenzis, Peter Wriggers, Giorgio Zavarise. 2012

188 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0b463eb9413b24e085620f5478b3d48af86b845a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

An unbiased computational contact formulation for 3D friction (2015, unknown): “Such formulations have recently been developed for frictionless [11; 12; 13; 14] and frictional contact [15; 16; 17].”
The variational collocation method (2016, background): “, in solid mechanics [24, 25, 26, 27, 28, 29], fluid dynamics [10, 30, 31, 32], phase-field modeling [33, 34, 35], contact mechanics [36, 37], biomechanics [38, 39] and fluid-structure interaction [40, 41, 42, 43].”
Isogeometric collocation: Neumann boundary conditions and contact (2015, unknown): “This result was already obtained for NURBS discretizations in a Galerkin framework (see [29,33,30,34]) and is in contrast with the observations made for higher-order Lagrange elements, where the contact stresses feature oscillations at the boundary between active and inactive contact regions, whose ”
Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems (2014, background): “Applying this definition, the signed normal distance d is positive if the contact is open and negative when penetration of the bodies takes place [7,8].”
A Nitsche‐type formulation and comparison of the most common domain decomposition methods in isogeometric analysis (2014, methodology): “A mortar method was firstly introduced in [12] in the analysis of 3D elasticity problems and in [13] in the context of contact problems.”
Isogeometric collocation methods for Cosserat rods and rod structures (2017, unknown): “Applications of isogeometric methods in computational mechanics include, to name a few, incompressible elasticity and plasticity [3–6], mechanical contact formulations [7, 8], nonlinear vibration analysis [9], shape optimization [10, 11], and fluid-structure interaction [12].”