Mathematical Sciences: Cavitation in Elastodynamics
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Experiments on ductile materials have indicated that cavity                formation and coalescence is a major failure mechanism.  The                    present research will consider dynamic cavitation in certain                    metals and polymers.  In the physical situation to be modeled, a                stress wave is sent to the center of a solid ball of the                        material.  There is no void initially.  After the wave leaves the               center, a hole may develop in the material as the result of a                   singular solution of the underlying equations.                                       This work may lead to a simple predictor of failure                        initiation in situations where the loads increase slowly and                    monotonically.
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