Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity

DOI10.1016/j.apm.2020.03.044zbMath1481.74165OpenAlexW3026584931MaRDI QIDQ2049754

Hong Zheng, Wenan Wu, Yongtao Yang

Publication date: 27 August 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.03.044

zbMATH Keywords

wave propagationnumerical manifold methodcontinuous nodal gradientscracked porous mediafully dynamic (u-w-p) Biot formulation

Mathematics Subject Classification ID

Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

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Cites Work

• Unnamed Item
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• Numerical analysis of 2-D crack propagation problems using the numerical manifold method
• A new partition of unity finite element free from the linear dependence problem and possessing the delta property
• Stabilized low-order finite elements for frictional contact with the extended finite element method
• A partition-of-unity based `FE-meshfree' QUAD4 element with radial-polynomial basis functions for static analyses
• Mathematical cover refinement of the numerical manifold method for the stability analysis of a soil-rock-mixture slope
• A numerical approach for arbitrary cracks in a fluid-saturated medium
• A ``FE-meshfree QUAD4 element based on partition of unity
• A novel mesh-free poly-cell Galerkin method
• The partition of unity finite element method: basic theory and applications
• Three-dimensional fracture propagation with numerical manifold method
• Dynamics of fracturing saturated porous media and self-organization of rupture
• The enhanced local pressure model for the accurate analysis of fluid pressure driven fracture in porous materials
• A zero-thickness cohesive element-based numerical manifold method for rock mechanical behavior with micro-Voronoi grains
• Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues
• Enriched mixed finite element models for dynamic analysis of continuous and fractured porous media
• Enriched three-field numerical manifold formulation for dynamics of fractured saturated porous media
• A high-order numerical manifold method with continuous stress/strain field
• Porous media fracturing dynamics: stepwise crack advancement and fluid pressure oscillations
• A modified numerical manifold method for simulation of finite deformation problem
• Hydraulic fracturing modeling using the enriched numerical manifold method
• A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media
• A Lagrangian-based SPH-DEM model for fluid-solid interaction with free surface flow in two dimensions
• Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry
• Phase-field modeling of proppant-filled fractures in a poroelastic medium
• A phase-field approach embedded in the theory of porous media for the description of dynamic hydraulic fracturing
• A rigorous and unified mass lumping scheme for higher-order elements
• Non-local formulation for transport and damage in porous media
• An enriched-FEM technique for numerical simulation of interacting discontinuities in naturally fractured porous media
• Modeling unconfined seepage flow in soil-rock mixtures using the numerical manifold method
• Stability analysis of soil-rock-mixture slopes using the numerical manifold method
• On the implementation of a hydro-mechanical coupling model in the numerical manifold method
• Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method
• Linear dependence problems of partition of unity-based generalized FEMs
• 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
• Reformulation of dynamic crack propagation using the numerical manifold method
• Dynamics of porous media at finite strain
• On adaptive refinement techniques in multi-field problems including cohesive fracture
• Discrete element model for the analysis of fluid-saturated fractured poro-plastic medium based on sharp crack representation with embedded strong discontinuities
• Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
• THE NUMERICAL MANIFOLD METHOD: A REVIEW
• Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds
• Numerical simulation of fully saturated porous materials
• Robust imposition of Dirichlet boundary conditions on embedded surfaces
• Extended Finite Element Method
• Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
• New strategies for some issues of numerical manifold method in simulation of crack propagation
• An enriched FEM technique for modeling hydraulically driven cohesive fracture propagation in impermeable media with frictional natural faults: Numerical and experimental investigations
• Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
• Numerical manifold method for dynamic nonlinear analysis of saturated porous media
• A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium
• A method for dynamic crack and shear band propagation with phantom nodes
• An efficient finite element method for embedded interface problems
• Evaluation of higher order, mixed and Hermitean finite element procedures for dynamic analysis of saturated porous media using one-dimensional models
• Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
• Mixed and Hybrid Finite Element Methods
• Unconditionally convergent partitioned solution procedure for dynamic coupled mechanical systems
• Elastic crack growth in finite elements with minimal remeshing
• On stability and convergence of finite element approximations of Biot's consolidation problem
• A finite element method for crack growth without remeshing
• Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods
• Computational Contact Mechanics
• On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method

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