Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
Computer Methods in Applied Mechanics and Engineering
The discrete energy-momentum method: conserving algorithms for nonlinear elastodynamics
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
The Primal-Dual Active Set Strategy as a Semismooth Newton Method
SIAM Journal on Optimization
Transient 3d contact problems--NTS method: mixed methods and conserving integration
Computational Mechanics
On the consistent formulation of torques in a rotationless framework for multibody dynamics
Computers and Structures
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The present work deals with the development of an energy-momentum conserving method to unilateral contact constraints and is a direct continuation of a previous work (Hesch and Betsch in Comput Mech 2011, doi: 10.1007/s00466-011-0597-2 ) dealing with the NTS method. In this work, we introduce the mortar method and a newly developed segmentation process for the consistent integration of the contact interface. For the application of the energy-momentum approach to mortar constraints, we extend an approach based on a mixed formulation to the segment definition of the mortar constraints. The enhanced numerical stability of the newly proposed discretization method will be shown in several examples.