Session Details
MS05-1: Computational Contact Mechanics (Ganzes Minisymposium anzeigen)
Thursday, 12. October 2017; 13:30 - 15:30 Uhr in Raum 7.04
Sitzungsleitung: Alexander Popp
13:30
Contact along virtual interfaces: coupling the X-FEM with the mortar discretization (Keynote)
Vladislav Yastrebov (MINES ParisTech), Basava Raju Akula (MINES ParisTech), Julien Vignollet (Safran)
Kurzfassung:
We suggest a computational framework combining the extended finite element method (X-FEM) with the mortar integration for domain-tying and contact problems. We formulate interface conditions between a finite element surface and a virtual surface, passing at any location of another FE mesh (level set). The integration of the internal work employs the X-FEM. The tying or contact constraints are satisfied in the mortar sense. The aimed applications include a structural zoom and wear simulation.
Contact along virtual interfaces: coupling the X-FEM with the mortar discretization (Keynote)
Vladislav Yastrebov (MINES ParisTech), Basava Raju Akula (MINES ParisTech), Julien Vignollet (Safran)
Kurzfassung:
We suggest a computational framework combining the extended finite element method (X-FEM) with the mortar integration for domain-tying and contact problems. We formulate interface conditions between a finite element surface and a virtual surface, passing at any location of another FE mesh (level set). The integration of the internal work employs the X-FEM. The tying or contact constraints are satisfied in the mortar sense. The aimed applications include a structural zoom and wear simulation.
14:10
On the shape functions for the contact pressure in mortar methods
Xuan Thang Duong (RWTH Aachen University), Laura De Lorenzis (Technical University of Braunschweig), Roger A. Sauer (RWTH Aachen University)
Kurzfassung:
Mortar formulations differ on the choice of shape functions for approximation of the contact pressure. The shape functions can be identical to the standard, weighted standard, or the dual shape functions. In this contribution, we will unify all the above choices by starting with a least-squares condition. That is, the shape functions are constructed such that the smoothed contact pressure fits best to the raw contact pressure. Various other choices are also compared and discussed.
On the shape functions for the contact pressure in mortar methods
Xuan Thang Duong (RWTH Aachen University), Laura De Lorenzis (Technical University of Braunschweig), Roger A. Sauer (RWTH Aachen University)
Kurzfassung:
Mortar formulations differ on the choice of shape functions for approximation of the contact pressure. The shape functions can be identical to the standard, weighted standard, or the dual shape functions. In this contribution, we will unify all the above choices by starting with a least-squares condition. That is, the shape functions are constructed such that the smoothed contact pressure fits best to the raw contact pressure. Various other choices are also compared and discussed.
14:30
A Nitsche's method for finite deformation thermo-mechanical contact
Alexander Seitz (Technical University of Munich), Wolfgang A. Wall (Technical University of Munich), Alexander Popp (Technical University of Munich)
Kurzfassung:
This talk presents an extension of Nitsche's method to finite deformation thermo-mechanical contact problems. Besides the coupling of temperature and stress response in the bulk continuum, special focus is put on the consistent enforcement of all involved interface constraints: normal contact, Coulomb's law of friction, heat conduction across the interface and frictional work converted to heat. A set of numerical examples will be presented demonstrating the accuracy of the presented method.
A Nitsche's method for finite deformation thermo-mechanical contact
Alexander Seitz (Technical University of Munich), Wolfgang A. Wall (Technical University of Munich), Alexander Popp (Technical University of Munich)
Kurzfassung:
This talk presents an extension of Nitsche's method to finite deformation thermo-mechanical contact problems. Besides the coupling of temperature and stress response in the bulk continuum, special focus is put on the consistent enforcement of all involved interface constraints: normal contact, Coulomb's law of friction, heat conduction across the interface and frictional work converted to heat. A set of numerical examples will be presented demonstrating the accuracy of the presented method.
14:50
An exact penalty approach for the finite element solution of frictionless contact problems
Fabian Sewerin (Technical University of Braunschweig), Panayiotis Papadopoulos (University of California)
Kurzfassung:
Considering a discrete formulation of the frictionless two-body contact problem, we adopt an exact penalty approach in order to enforce the kinematic impenetrability constraints. This approach is based on an augmented discrete force equilibrium and a smooth estimation of the Lagrange multipliers in terms of the nodal displacements. A main feature of the resulting formulation is that an exact enforcement of the impenetrability constraints is achieved for a finite value of the penalty parameter.
An exact penalty approach for the finite element solution of frictionless contact problems
Fabian Sewerin (Technical University of Braunschweig), Panayiotis Papadopoulos (University of California)
Kurzfassung:
Considering a discrete formulation of the frictionless two-body contact problem, we adopt an exact penalty approach in order to enforce the kinematic impenetrability constraints. This approach is based on an augmented discrete force equilibrium and a smooth estimation of the Lagrange multipliers in terms of the nodal displacements. A main feature of the resulting formulation is that an exact enforcement of the impenetrability constraints is achieved for a finite value of the penalty parameter.