Reference health
Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation
63/63 checkable references clean · checked 2026-07-23
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
8 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 63 checked references that resolve
resolves10.1007/s00603-014-0570-4
An Analytical Solution for Mechanical Responses Induced by Temperature and Air Pressure in a Lined Rock Cavern for Underground Compressed Air Energy Storage
resolves10.1088/1742-2140/aa7bd9
Numerical simulation for the coupled thermo-mechanical performance of a lined rock cavern for underground compressed air energy storage
resolves10.1016/j.tafmec.2018.04.011
Phase field modelling of crack propagation, branching and coalescence in rocks
resolves10.1016/S1365-1609(02)00027-8
Coalescence of multiple flaws in a rock-model material in uniaxial compression
resolves10.1016/j.ijrmms.2008.03.006
Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression
resolves10.1007/s10704-010-9576-4
Strength failure and crack coalescence behavior of brittle sandstone samples containing a single fissure under uniaxial compression
resolves10.1007/s10064-013-0505-4
Rock failure modes under uniaxial compression, Brazilian, and point load tests
resolves10.1088/1742-2132/12/5/753
Strength criterion for rocks subjected to cyclic stress and temperature variations
resolves10.1016/j.ijrmms.2015.03.038
Damage modeling of basaltic rock subjected to cyclic temperature and uniaxial stress
resolves10.1007/s11600-017-0073-2
Statistical damage constitutive model for rocks subjected to cyclic stress and cyclic temperature
resolves10.1016/j.cma.2011.08.013
Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth
resolves10.1016/j.jcp.2012.10.018
Boundary particle method for Laplace transformed time fractional diffusion equations
resolves10.1016/j.aml.2019.02.025
A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains
resolves10.1002/nme.2914
The extended/generalized finite element method: An overview of the method and its applications
resolves10.1002/nme.2273
A new crack tip element for the phantom‐node method with arbitrary cohesive cracks
resolves10.1016/j.cma.2017.04.028
A modification of the phase-field model for mixed mode crack propagation in rock-like materials
resolves10.1016/j.engfracmech.2015.10.042
Damage and fracture algorithm using the screened Poisson equation and local remeshing
resolves10.1007/s00466-016-1328-5
A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement
resolves10.1002/nme.2861
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
resolves10.1016/j.cma.2010.04.011
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
resolves10.1002/nme.4709
Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture
resolves10.1016/j.advengsoft.2018.03.012
Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies
resolves10.1016/j.enggeo.2018.04.008
A phase-field modeling approach of fracture propagation in poroelastic media
resolves10.1016/j.undsp.2018.04.006
Adaptive phase field simulation of quasi-static crack propagation in rocks
resolves10.1016/j.cma.2018.06.015
Modeling dynamic fracture of solids with a phase-field regularized cohesive zone model
resolves10.1016/j.cma.2013.07.015
Variational gradient plasticity at finite strains. Part II: Local–global updates and mixed finite elements for additive plasticity in the logarithmic strain space
resolves10.1016/j.cma.2016.02.017
Phase-field modeling of brittle and ductile fracture in shells with isogeometric NURBS-based solid-shell elements
resolves10.1016/j.cma.2016.09.005
A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects
resolves10.1016/j.compstruct.2018.10.083
Modeling crack propagation in variable stiffness composite laminates using the phase field method
resolves10.1016/j.compositesb.2019.04.003
Phase field modelling of crack propagation in functionally graded materials
resolves10.1016/j.cma.2014.11.017
Phase field modeling of fracture in multi-physics problems. Part II. Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic–plastic solids
resolves10.1016/j.cma.2016.02.037
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
resolves10.1016/j.cma.2015.09.021
Phase field modeling of fracture in multi-physics problems. Part III. Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media
resolves10.1016/j.cma.2016.10.045
A phase-field approach embedded in the Theory of Porous Media for the description of dynamic hydraulic fracturing
resolves10.1016/j.jngse.2019.03.018
Numerical investigation of multizone hydraulic fracture propagation in porous media: New insights from a phase field method
resolves10.1016/j.cma.2019.03.001
Phase-field modeling of fluid-driven dynamic cracking in porous media
resolves10.1007/s11709-018-0471-9
A FEniCS implementation of the phase field method for quasi-static brittle fracture
resolves10.1016/j.cma.2017.10.009
Coupled phase-field and plasticity modeling of geological materials: From brittle fracture to ductile flow
resolves10.1016/j.cma.2018.08.008
A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics
resolves10.1007/s00466-014-1109-y
A review on phase-field models of brittle fracture and a new fast hybrid formulation
resolves10.1103/PhysRevLett.93.105504
Dynamic Instabilities of Fracture under Biaxial Strain Using a Phase Field Model
resolves10.1016/j.jmps.2017.03.015
A unified phase-field theory for the mechanics of damage and quasi-brittle failure
resolves10.1088/1742-2140/aaa1ad
A theoretical approach to quantify the effect of random cracks on rock deformation in uniaxial compression
resolves10.1016/j.jmps.2009.04.011
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
resolves10.1016/j.enggeo.2012.05.005
A statistical damage constitutive model for softening behavior of rocks
resolves10.1016/j.commatsci.2016.04.009
Abaqus implementation of monolithic and staggered schemes for quasi-static and dynamic fracture phase-field model
resolves10.1016/j.tafmec.2014.04.004
A comparative study on unfilled and filled crack propagation for rock-like brittle material
resolves10.1007/s00466-017-1373-8
Numerical evaluation of the phase-field model for brittle fracture with emphasis on the length scale
resolves10.1016/j.engfracmech.2018.12.013
Phase field and gradient enhanced damage models for quasi-brittle failure: A numerical comparative study
resolves10.1016/j.jmps.2018.06.006
A length scale insensitive phase-field damage model for brittle fracture
The 8 references without a DOI — listed, not checked
no DOI — not checkedNumerical modelling of discrete crack propagation in reinforced and plain concrete
no DOI — not checkedAn efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load
no DOI — not checkedSome observations on localisation in non-local and gradient damage models
no DOI — not checkedPropagation and coalescence of quasi-static cracks in Brazilian disks: an insight from a phase field model
no DOI — not checkedFracture propagation in Brazilian discs with multiple pre-existing notches by using a phase field method
no DOI — not checkedA damage model for hard rock under stress-induced failure mode
no DOI — not checkedA variational approach to the numerical simulation of hydraulic fracturing
no DOI — not checkedLong-term stability of a lined rock cavern for compressed air energy storage: thermo-mechanical damage modeling
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