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Numerical simulations of damage and fracture in viscoelastic solids using a nonlocal fracture criterion

K. Sarah, P. Thamburaja, Arun R. Srinivasa, J. N. Reddy

2020Mechanics of Advanced Materials and Structures31 citationsDOI

Abstract

We present a recently developed three-dimensional-finite-deformation-rate form-based constitutive theory to describe the deformation and fracture of viscoelastic solids. The constitutive theory was also implemented into a commercial finite-element program. Damage and fracture in viscoelastic solids is simulated using the element failure method coupled with a Gibbs free energy-based nonlocal fracture criterion. By numerically simulating selected boundary value problems, we show that our newly developed computational framework is able to reproduce the correct stress-strain response, force–displacement response and crack propagation characteristics in viscoelastic solids undergoing fracture, when compared to the response obtained using the extended finite-element method implementation in a commercially available finite element program.

Topics & Concepts

ViscoelasticityFinite element methodFracture (geology)Materials scienceDeformation (meteorology)MechanicsConstitutive equationDisplacement (psychology)Fracture mechanicsBoundary value problemStress (linguistics)Structural engineeringMathematicsComposite materialMathematical analysisPhysicsEngineeringLinguisticsPsychotherapistPhilosophyPsychologyNumerical methods in engineeringRock Mechanics and ModelingFatigue and fracture mechanics
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