A new damage model based on non-local displacements. (English) Zbl 1122.74496
Summary: A new non-local damage model is presented. Non-locality (of integral or gradient type) is incorporated into the model by means of non-local displacements. This contrasts with existing damage models, where a non-local strain or strain-related state variable is used. The new model is very attractive from a computational viewpoint, especially regarding the computation of the consistent tangent matrix needed to achieve quadratic convergence in Newton iterations. At the same time, its physical response is very similar to that of the standard models, including its regularization capabilities. All these aspects are discussed in detail and illustrated by means of numerical examples.
Keywords:
non-local damage models; non-local displacements; gradient models; consistent tangent matrix; quadratic convergenceSoftware:
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