Adaptive wavelet-enhanced cohesive zone phase-field FE model for crack evolution in piezoelectric composites

Dan, Saikat; Tarafder, Preetam; Ghosh, Somnath

doi:10.1016/j.cma.2022.114636

Cited by 13 publications

(22 citation statements)

References 68 publications

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“…Deformation of the multifunctional composite leads to debonding between the inclusion and the primary matrix phases at the interface, resulting in a discontinuity in the displacement and electric potential fields across the interface. Accordingly, the total displacement and electric potential fields can be written as 21,22…”

Section: Finite Deformation Kinematics Of Debonding Across Interfacesmentioning

confidence: 99%

“…The governing equations for the finite deformation coupled electromechanical and phase-field problem can be derived from the principle of virtual work. 21 In a Lagrangian formulation, the governing equations are expressed in the reference configuration are given as Linear momentum :…”

Section: Phase-field Regularization Of Sharp Cracks Interfaces and Fi...mentioning

confidence: 99%

“…14,15 These models have been successfully used for simulating electromechanical fracture in piezoelectric and ferroelectric ceramics [16][17][18][19][20] as well as piezoelectric composites. 21 This paper builds on the cohesive zone enhanced phasefield framework developed for electromechanical fracture in piezocomposites undergoing finite deformation. 21 A stored elastic energy density function for anisotropic multiphase piezoelectric materials with interfaces is adopted such that it can be readily split into a tensile and compressive parts.…”

Section: Introductionmentioning

confidence: 99%

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Cohesive zone phase field model for electromechanical fracture in multiphase piezoelectric composites

Tarafder

Dan

Ghosh

2023

Journal of Composite Materials

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This paper introduces a coupled electromechanical finite deformation phase field model for crack propagation and interfacial decohesion in multiphase piezoelectric composites with interfaces. The crack phase field model is augmented with cohesive traction-separation laws at the material interfaces, derived from a cohesive potential function. A Gibbs free energy density function is proposed, allowing for the incorporation of the anisotropic elastic stiffness of the piezoelectric material. Numerical simulations exhibiting different failure mechanisms are carried out to demonstrate the efficacy of the model. Effects of external electric field on crack evolution and the competition between penetration and deflection of a crack impinging on an interface are investigated. Limited verification tests are conducted with theoretical results. Finally, the model is used to simulate fracture in nonuniform piezocomposite microstructures. The effect of crack propagation on the evolution of the electric field with different crack face conditions are analyzed. Differences in the electromechanical responses of piezocomposites due to different fiber distributions are also observed.

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Section: Finite Deformation Kinematics Of Debonding Across Interfacesmentioning

confidence: 99%

Section: Phase-field Regularization Of Sharp Cracks Interfaces and Fi...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cohesive zone phase field model for electromechanical fracture in multiphase piezoelectric composites

Tarafder

Dan

Ghosh

2023

Journal of Composite Materials

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“…41–43 where ρ 0 ψ e is the elastic strain energy density, ρ 0 ψ c is the crack surface energy density in the matrix and fiber phases and ρ0ψμint is the fiber-matrix interface strain energy density. The factor (1−η)2 has been introduced in 42,43 to ensure that the cohesive potential is active only at the regularized interfaces. Away from the fiber-matrix interfaces, the constitutive behavior is governed by the crack phase-field because of the diminishing influence of the auxiliary phase-field order parameter.…”

Section: Self-consistent Upscaling Using a Concurrent Multiscale Modelmentioning

confidence: 99%

“…Taking the variation of equation (1) with respect to the displacement uiα and using equation (13), the microscale equations of motion for each phase α in the SERVE in the reference configuration are derived as:with the linear elastic constitutive relations:where P ij and S ij are respectively the first and second Piola-Kirchhoff stress tensor. Similarly, by setting the first variation of equation (1) with respect to the phase field order parameter s to zero, the governing equations for the evolving crack phase field in each phase α in the SERVE are given in the reference configuration as 42,43,46 :subject to Dirichlet boundary condition s=s¯ on normalΓ0sα. Excessive energy is released during the fracture process, which can be balanced by including dynamic effects in the formulation.…”

Section: Self-consistent Upscaling Using a Concurrent Multiscale Modelmentioning

confidence: 99%

Self-consistent homogenization-based parametrically upscaled continuum damage mechanics model for composites subjected to high strain-rate loading

Prakash

Ghosh

2022

Journal of Composite Materials

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This paper develops a Parametrically Upscaled Continuum Damage Mechanics (PUCDM) model for carbon fiber/epoxy matrix composites subjected to high strain-rate loading. The PUCDM model for predicting high strain-rate induced deformation and damage evolution at the macroscopic scale, explicitly incorporates microstructural morphology and micro-inertia in its constitutive coefficients. It is developed using self-consistent homogenization that uses a concurrent multiscale model to account for the effect of micro-inertia and stress wave interaction with the microstructure. The concurrent model embeds a statistically equivalent representative volume element (SERVE) of the microstructure in an exterior domain, whose constitutive and damage response are described by the PUCDM model. Micromechanical modeling for the composite microstructure involves a unified cohesive zone enhanced phase-field damage model for fiber-matrix interface debonding, fiber breakage, and matrix cracking. The PUCDM model parameters for the upscaled domain are determined through micro-macro-scale energy equivalence, along with traction reciprocity and displacement continuity at the SERVE-exterior domain interface that are enforced using a Lagrange multiplier-based approach. Simulations using the concurrent model analyze stress wave propagation and damage evolution in composite microstructures with three different fiber volume fractions at multiple strain rates in the range of 102 − 105 s−1. The fiber volume fraction and spatial distributions affect the overall stiffness and damage evolution in the PUCDM model. Results of the analysis demonstrate the need for representation of micro-inertia, strain rates and microstructure morphology in the PUCDM-based stiffness and damage model parameters for high strain-rates above [Formula: see text].

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Fourth-order phase-field modeling for brittle fracture in piezoelectric materials

Tan,

Peng,

Liu

et al. 2024

Appl. Math. Mech.-Engl. Ed.

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Adaptive wavelet-enhanced cohesive zone phase-field FE model for crack evolution in piezoelectric composites

Cited by 13 publications

References 68 publications

Cohesive zone phase field model for electromechanical fracture in multiphase piezoelectric composites

Cohesive zone phase field model for electromechanical fracture in multiphase piezoelectric composites

Self-consistent homogenization-based parametrically upscaled continuum damage mechanics model for composites subjected to high strain-rate loading

Fourth-order phase-field modeling for brittle fracture in piezoelectric materials

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