Autor: |
Putar, Filip, Sorić, Jurica, Lesičar, Tomislav, Tonković, Zdenko |
Přispěvatelé: |
Moes, Nicolas, Olivier, Xavier, Jirasek, Milan, Allix, Olivier |
Jazyk: |
angličtina |
Rok vydání: |
2017 |
Předmět: |
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Popis: |
An efficient damage model for quasi-brittle materials implemented into the two dimensional C1 continuity triangular finite element formulation [1] employing the nonlocal continuum theory is proposed. In this way, a nonlocal material behaviour is introduced in the model, enabling the preservation of the positive definiteness of the stiffness matrices, as well as the ellipticity of the damage related field equations in the softening regime. The isotropic damage law is introduced into the higher-order stress-strain constitutive relations, which enable the analysis of both homogeneous and heterogeneous materials. Such softening formulation also ensures a decrease of the nonlocality associated with the damage growth, which is necessary for the correct description of the narrow localized deformation [2]. Because the linear elastic material behaviour is considered, the constitutive tensors can be calculated only once, prior to the softening analysis by applying the second-order homogenization procedure at the appropriate microstructural representative volume element, as described in [1]. All algorithms derived are implemented into the FE software ABAQUS in order to achieve higher computational efficiency. The robustness and accuracy of the computational algorithms derived are shown in numerical examples. The numerical results are compared with the solutions obtained by other available nonlocal formulations [2, 3]. |
Databáze: |
OpenAIRE |
Externí odkaz: |
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