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: Data characterizing a fastener and a preload condition applied to the fastener are received in a computer system. A model representing a mechanism coupling a first portion and a second portion of the fastener is created. The first portion and the second portion are located respectively at either end of the fastener along a longitudinal axis of the fastener. The first portion and the second portion are axially displaceable along the axis towards each other via the mechanism and rotatably displaceable about the axis relative to each other via the mechanism. The model includes relative axial displacement and/or relative torsional displacement between the first portion and the second portion corresponding to the preload condition. Physical behaviors of the fastener applied with the preload condition is simulated based on the model.

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: 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.