Mixed-dimensional coupling in finite element models

DOI<725::AID-NME967>3.0.CO;2-W 10.1002/1097-0207(20001030)49:6<725::AID-NME967>3.0.CO;2-WzbMath0967.74067OpenAlexW2080453605MaRDI QIDQ4525080

R. W. McCune, Desmond J. Robinson, Cecil G. Armstrong

Publication date: 30 August 2001

Full work available at URL: https://doi.org/10.1002/1097-0207(20001030)49:6<725::aid-nme967>3.0.co;2-w

zbMATH Keywords

displacement compatibilitystress equilibriumdimensional interfacehigher-dimensional elementlower-dimensional element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Junctions (74K30)

Related Items (16)

Hierarchical model adaptivity in finite element analysis for non-linear plate problems ⋮ Improved coupling of finite shell elements and 3D boundary elements ⋮ Nitsche's finite element method for model coupling in elasticity ⋮ Nonintrusive coupling of 3D and 2D laminated composite models based on finite element 3D recovery ⋮ A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models ⋮ Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses ⋮ The Nitsche method applied to a class of mixed-dimensional coupling problems ⋮ Mixed-dimensional, symmetric coupling of FEM and BEM. ⋮ A goal-oriented error estimator for the analysis of simplified designs ⋮ Numerical procedure to couple shell to solid elements by using Nitsche's method ⋮ Failure optimization of geometrically linear/nonlinear laminated composite structures using a two-step hierarchical model adaptivity ⋮ NOVEL COUPLING CONSTRAINT TECHNIQUE FOR EXPLICIT FINITE ELEMENT ANALYSIS ⋮ Mixed dimensional isogeometric FE-be coupling analysis for solid-shell structures ⋮ A polymorphic element formulation towards multiscale modelling of composite structures ⋮ Nitsche's method for interface problems in computa-tional mechanics ⋮ Nitsche's method for a coupling of isogeometric thin shells and blended shell structures

Uses Software

• ABAQUS

Cites Work

• A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
• A set of three-dimensional solid to shell transition elements for structural dynamics
• Three‐dimensional solid‐to‐beam transition elements for structural dynamics analysis
• On bending of elastic plates

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