Extracting rate dependent traction separation relations for interfaces

Abstract eng:
Extracting traction-separation relationships for cracks/interfaces in both viscoelastic and elastic media can be equivalently described as solving a Cauchy inverse boundary value problem. In this work, for a given far field loading condition, a framework is proposed to independently solve for the tractions and displacements governing the interactions between elastic media. The proposed framework combines the field projection method [1] and an iterative method to solve Cauchy problems [2, 3], to obtain an optimization scheme that can be utilized to measure tractions and displacements. An attractive feature of this framework is that it only utilizes the displacement and load measurements made on a very small accessible part of the boundary, close to the loading point and far away from the crack-tip. Both numerical and physical experiments were performed to conclusively demonstrate the efficiency of the proposed framework.

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