Abstract: Methods for modeling contact pairs in a model of a physical object include generating a contact pair including a contact surface and a target surface, where the contact pair further includes contact elements of the contact surface and the target surface, splitting the contact pair into contact sub-pairs along splitting boundaries, augmenting each contact sub-pair with contact elements from adjacent contact sub-pairs at the splitting boundaries, distributing the augmented contact sub-pairs to a plurality of parallel processors for finite element solutions of the contact sub-pairs, receiving the finite element solutions of the contact sub-pairs from the plurality of parallel processors, and combining the finite element solutions of the contact sub-pairs into finite element solutions of the contact pair.

Abstract: Methods for modeling contact pairs in a model of a physical object include generating a contact pair including a contact surface and a target surface, where the contact pair further includes contact elements of the contact surface and the target surface, splitting the contact pair into contact sub-pairs along splitting boundaries, augmenting each contact sub-pair with contact elements from adjacent contact sub-pairs at the splitting boundaries, distributing the augmented contact sub-pairs to a plurality of parallel processors for finite element solutions of the contact sub-pairs, receiving the finite element solutions of the contact sub-pairs from the plurality of parallel processors, and combining the finite element solutions of the contact sub-pairs into finite element solutions of the contact pair.

Abstract: A deformed mesh representing an object during a deformation process is calculated. A new mesh comprising a crack to be inserted into the deformed mesh is determined. The new mesh comprising the crack is inserted into the deformed mesh to obtain a deformed mesh having the inserted new mesh during the deformation process. This may allow for the simulation of a physical process that may not otherwise be simulated.

Abstract: A deformed mesh representing an object during a deformation process is calculated. A new mesh comprising a crack to be inserted into the deformed mesh is determined. The new mesh comprising the crack is inserted into the deformed mesh to obtain a deformed mesh having the inserted new mesh during the deformation process. This may allow for the simulation of a physical process that may not otherwise be simulated.

Abstract: Methods for modeling contact pairs in a model of a physical object include generating a contact pair including a contact surface and a target surface, where the contact pair further includes contact elements of the contact surface and the target surface, splitting the contact pair into contact sub-pairs along splitting boundaries, augmenting each contact sub-pair with contact elements from adjacent contact sub-pairs at the splitting boundaries, distributing the augmented contact sub-pairs to a plurality of parallel processors for finite element solutions of the contact sub-pairs, receiving the finite element solutions of the contact sub-pairs from the plurality of parallel processors, and combining the finite element solutions of the contact sub-pairs into finite element solutions of the contact pair.