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Professor Chris Larsen Receives a 3-Year Grant to Develop New Variational Methods for Fracture Evolution

The last 25 years have seen significant advances in the modeling and mathematical analysis of fracture. However, the strongest mathematical results have been restricted to variational models that have limitations, including combining nucleation with propagation, and incompatibility with applied forces. Prof. Chris Larsen, Professor of Mathematical Sciences, was recently awarded a 3-year grant from the National Science Foundation to develop and analyze models for fracture that isolate propagation and that are compatible with all applied forces. This work will focus on a new local variational principle that does not force nucleation and has the desired compatibility with loads.

The last 25 years have seen significant advances in the modeling and mathematical analysis of fracture. However, the strongest mathematical results have been restricted to variational models that have limitations, including combining nucleation with propagation, and incompatibility with applied forces. Prof. Chris Larsen, Professor of Mathematical Sciences, was recently awarded a 3-year grant from the National Science Foundation to develop and analyze models for fracture that isolate propagation and that are compatible with all applied forces. This work will focus on a new local variational principle that does not force nucleation and has the desired compatibility with loads.

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