How can peridynamics and damage mechanics work together to achieve objective simulation of failure?

How can peridynamics and damage mechanics work together to achieve objective simulation of failure?

Lubineau, Gilles; Han, Fei; Azdoud, Yan

Abstract:

Damage localization results in spurious mesh dependency of finite element simulations unless a relevant regularization technique is used. A non-local integral theory (Peridynamics) has been proposed to model the deformation of continua, especially for crack extension problems. It relies on an integral equilibrium equation and naturally introduces a length scale that avoids any spurious mesh dependency. However, it comes with huge computational cost and volume-like boundary conditions that makes it difficult to apply. Peridynamics also introduces non-locality as soon as the elastic regime that is a questionable feature of this theory. In this work, we connected damage mechanics (based on a local constitutive model) to peridynamics by a Morphing technique (which has been introduced for coupling local and non-local continuum models). Then, we proposed an adaptive algorithm from local damage to final rupture. The damage model is used to identify the localizing parts of the structure. It is then replaced by the peridynamic model in the localizing area. The peridynamic model can then simulate localization and fracture successfully. The local continuum model is still used in the rest of the structure, for reducing the computational cost and making it possible to apply boundary surface tractions.

Damage localization results in spurious mesh dependency of finite element simulations unless a relevant regularization technique is used. A non-local integral theory (Peridynamics) has been proposed to model the deformation of continua, especially for crack extension problems. It relies on an integral equilibrium equation and naturally introduces a length scale that avoids any spurious mesh dependency. However, it comes with huge computational cost and volume-like boundary conditions that makes it difficult to apply. Peridynamics also introduces non-locality as soon as the elastic regime that is a questionable feature of this theory. In this work, we connected damage mechanics (based on a local constitutive model) to peridynamics by a Morphing technique (which has been introduced for coupling local and non-local continuum models). Then, we proposed an adaptive algorithm from local damage to final rupture. The damage model is used to identify the localizing parts of the structure. It is then replaced by the peridynamic model in the localizing area. The peridynamic model can then simulate localization and fracture successfully. The local continuum model is still used in the rest of the structure, for reducing the computational cost and making it possible to apply boundary surface tractions.

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Como citar:

Lubineau, Gilles; Han, Fei; Azdoud, Yan; "How can peridynamics and damage mechanics work together to achieve objective simulation of failure?", p-71-71. In: Proceedings of the 13th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials [=Blucher Material Science Proceedings, v.1, n.1]. São Paulo: Blucher, 2014.
ISSN 23589337, DOI