Trefftz collocation method for two-dimensional strain gradient elasticity
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Publication:6553274
DOI10.1002/nme.6563zbMath1548.74084MaRDI QIDQ6553274
Publication date: 11 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05)
Cites Work
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- Asymptotic fracture modes in strain-gradient elasticity: size effects and characteristic lengths for isotropic materials
- A new finite element method for strain gradient theories and applications to fracture analyses
- Boundary element analysis of mode I and mixed mode (I and II) crack problems of 2D gradient elasticity
- Elastic materials with couple-stresses
- Mixed finite element formulations of strain-gradient elasticity problems
- Revisiting bending theories of elastic gradient beams
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics
- A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
- Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials
- Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains
- A unifying variational framework for stress gradient and strain gradient elasticity theories
- Finite element analysis of plane strain solids in strain-gradient elasticity
- Isogeometric analysis of first and second strain gradient elasticity
- Consistent integration schemes for meshfree analysis of strain gradient elasticity
- Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems
- Three-phase model of particulate composites in second gradient elasticity
- Micro-structure in linear elasticity
- Plane strain gradient elastic rectangle in tension
- Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
- An advanced boundary element method for solving 2D and 3D static problems in Mindlin's strain-gradient theory of elasticity
- Second-grade elasticity revisited
- A three-dimensionalC1finite element for gradient elasticity
- Generalized finite element analysis with T-complete boundary solution functions
- Trefftz method: Fitting boundary conditions
- Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses
- p-Extension of C0 continuous mixed finite elements for plane strain gradient elasticity
- Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms
- Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity
- On the numerical solution of a class of problems in a linear first strain–gradient theory of elasticity
- Trefftz method: An overview
- On trial functions applied in the generalized Trefftz method
- Cauchy tetrahedron argument applied to higher contact interactions
- Twenty-four-DOF four-node quadrilateral elements for gradient elasticity
- Four-node tetrahedral elements for gradient-elasticity analysis
- A novel efficient mixed formulation for strain-gradient models
Related Items (3)
Complete general solutions for equilibrium equations of isotropic strain gradient elasticity ⋮ A simple meshfree method based on Trefftz attitude for 2D and 3D elasticity problems ⋮ General solutions in gradient elasticity and filtration theory based on Papkovich-Neuber potentials
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