Abstract
This paper presents a peridynamics-based micromechanical analysis framework that can efficiently handle material failure for random heterogeneous structural materials. In contrast to conventional continuum-based approaches, this method can handle discontinuities such as fracture without requiring supplemental mathematical relations. The framework presented here generates representative unit cells based on microstructural information on the material and assigns distinct material behavior to the constituent phases in the random heterogenous microstructures. The framework incorporates spontaneous failure initiation/propagation based on the critical stretch criterion in peridynamics and predicts effective constitutive response of the material. The current framework is applied to a metallic particulate-reinforced cementitious composite. The simulated mechanical responses show excellent match with experimental observations signifying efficacy of the peridynamics-based micromechanical framework for heterogenous composites. Thus, the multiscale peridynamics-based framework can efficiently facilitate microstructure guided material design for a large class of inclusion-modified random heterogenous materials.
Highlights
The classical theory of solid mechanics, because of its reliance on partial differential equations, is inherently limited when applied to failure of materials [1,2,3]
The non-existence of the spatial derivatives at the crack tips introduces singularity, which is alleviated with supplemental relations for stable numerical modeling. This necessitates a reformulation of the fundamental equations of continuum mechanics for universal application regardless of discontinuities arising from deformations
Peridynamics has been gaining traction owing to its ability to handle multiple scales with long-range forces that can be efficiently integrated in a constitutive model
Summary
The classical theory of solid mechanics, because of its reliance on partial differential equations, is inherently limited when applied to failure of materials [1,2,3]. Any failure is treated as a natural outcome of the deformation arising out of the equations of motion and the constitutive model [2] This eliminates the need for supplemental kinetic relations which would otherwise be necessary in fracture mechanics to define crack initiation and propagation [7,8]. This study applies the proposed peridynamics-based multiscale framework towards prediction of an effective mechanical response of a metallic particulate incorporated cementitious composite. Such heterogenous systems have been established by experimental observations [38] and integrated in FE-based multiscale simulations [39] to elucidate the enhanced fracture performance. The proposed peridynamics-based framework is expected to enable efficient design of a sizable class of inclusion-reinforced random heterogeneous cement-based composites for various applications which is the ultimate objective of this research work
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