Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach
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Publication:2050932
DOI10.1016/j.cam.2021.113715OpenAlexW3178111169MaRDI QIDQ2050932
S. M. Mallikarjunaiah, Hyun Chul Yoon, Sanghyun Lee
Publication date: 1 September 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113715
Nonlinear elasticity (74B20) Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) PDEs in connection with mechanics of deformable solids (35Q74)
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Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model ⋮ Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid ⋮ Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body
Uses Software
Cites Work
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- Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches
- An augmented-Lagrangian method for the phase-field approach for pressurized fractures
- Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies
- Large deformations near a tip of an interface-crack between two Neo- Hookean sheets
- On implicit constitutive theories.
- A continuum theory of elastic material surfaces
- Numerical experiments in revisited brittle fracture
- Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack
- Optimal design of hydraulic fracturing in porous media using the phase field fracture model coupled with genetic algorithm
- A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
- Phase-field modeling of fracture in variably saturated porous media
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- Revisiting brittle fracture as an energy minimization problem
- A variational phase-field model for hydraulic fracturing in porous media
- On the nonlinear elastic response of bodies in the small strain range
- A phase-field description for pressurized and non-isothermal propagating fractures
- An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters
- IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media
- The deal.II library, Version 9.1
- Phase-field modeling of proppant-filled fractures in a poroelastic medium
- Cracking and damage from crystallization in pores: coupled chemo-hydro-mechanics and phase-field modeling
- Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model
- Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium
- Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing
- On monotonicity for strain-limiting theories of elasticity
- Phase-field modeling of ductile fracture
- The elasticity of elasticity
- A numerical study of a plate with a hole for a new class of elastic bodies
- Phase field modeling of fracture in multi-physics problems. III: Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media
- Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
- The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies
- Plane-strain fracture with curvature-dependent surface tension: mixed-mode loading
- Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack
- Phase field modeling of fracture in multi-physics problems. I: Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids
- Non-Linear Elastic Bodies Exhibiting Limiting Small Strain
- Conspectus of concepts of elasticity
- Analysis and approximation of a strain-limiting nonlinear elastic model
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- Integro-Differential Equation for a Finite Crack in a Strip with Surface Effects
- A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- On a class of non-dissipative materials that are not hyperelastic
- Some topics on a new class of elastic bodies
- Existence and convergence for quasi-static evolution in brittle fracture
- Phase-Field Modeling of Two Phase Fluid Filled Fractures in a Poroelastic Medium
- A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies
- Must Elastic Materials be Hyperelastic?
- Modeling of a Curvilinear Planar Crack with a Curvature-Dependent Surface Tension
- An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model
- On strong ellipticity for implicit and strain-limiting theories of elasticity
- VI. The phenomena of rupture and flow in solids
- The effect of a curvature-dependent surface tension on the singularities at the tips of a straight interface crack
- A quasi-static phase-field approach to pressurized fractures
- A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium
- On a new class of electroelastic bodies. I
- Implicit constitutive relations for nonlinear magnetoelastic bodies
- On the response of non-dissipative solids