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Title:
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A new damage model based on non-local displacements
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Author:
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Rodríguez Ferran, Antonio; Morata, I; Huerta, Antonio
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
-Fracture mechanics--Mathematical models
-non-local damage models
-non-local displacements
-gradient models
-consistent tangent matrix
-quadratic convergence
-Mecànica de fractura -- Models matemàtics |
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Rights:
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Document type:
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Article - Submitted version
Article |
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