journal article·2020-12

Efficient higher-order cycle jump integration of a continuum fatigue damage model

Thomas Titscher, Jörg F. Unger

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Abstract

Abstract Simulating high-cycle fatigue with continuum models offers the possibility to model stress-redistributions, consider 3D-stress states and simplifies extensions to multi-physics problems. The computational cost of conventional cycle-by-cycle time integrations is reduced by reformulating the fatigue problem as an ordinary differential equation for the material state and solving it with high-order adaptive time integration schemes. The computational cost of calculating the change of the material state in one cycle is further reduced by a high-order fatigue-specific time integration. The approach is exemplarily demonstrated for a fatigue extension of the implicit gradient-enhanced damage model in 3D and compared to experimental Wohler lines.
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Research context

OpenAlex topics: Elasticity and Material Modeling · Numerical methods in engineering · Model Reduction and Neural Networks

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