A \(C^{k}\) continuous generalized finite element formulation applied to laminated Kirchhoff plate model
From MaRDI portal
Publication:2391214
DOI10.1007/s00466-009-0376-5zbMath1166.74044OpenAlexW1990081104MaRDI QIDQ2391214
C. Armando Duarte, Clovis S. De Barcellos, Paulo De Tarso R. Mendonça
Publication date: 24 July 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-009-0376-5
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30)
Related Items
Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method ⋮ High regularity partition of unity for structural physically non-linear analysis ⋮ Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks ⋮ Upper bound limit analysis of plates utilizing the C1 natural element method ⋮ A note on the singular linear system of the generalized finite element methods ⋮ Evaluation and verification of an HSDT-layerwise generalized finite element formulation for adaptive piezoelectric laminated plates ⋮ One-dimensional nonlocal and gradient elasticity: assessment of high order approximation schemes ⋮ A partition of unity method with penalty for fourth order problems
Cites Work
- Unnamed Item
- Unnamed Item
- Reproducing kernel element method. III: Generalized enrichment and applications
- Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy
- p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds
- Kernel estimates as a basis for general particle methods in hydrodynamics
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- Analysis of thin shells by the element-free Galerkin method
- The method of finite spheres
- Modeling fracture in Mindlin-Reissner plates with the extended finite element method
- Analysis of thin plates by the element-free Galerkin method
- A new cloud-based \(hp\) finite element method
- Meshless methods for shear-deformable beams and plates
- Arbitrarily smooth generalized finite element approximations
- A Family of ${C}^0$ Finite Elements For Kirchhoff Plates I: Error Analysis
- High degree efficient symmetrical Gaussian quadrature rules for the triangle
- The natural element method in solid mechanics
- Elastic crack growth in finite elements with minimal remeshing
- Wavelet–Galerkin solutions for one‐dimensional partial differential equations
- hp-Clouds in Mindlin's thick plate model
- A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
- Reproducing kernel particle methods
- A finite element method for crack growth without remeshing
- Elasto‐plastic analysis of plates by the element free Galerkin method
- On error estimator and p‐adaptivity in the generalized finite element method
- Mathematical problems connected with the bending and buckling of elastic plates
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
- The generalized finite element method
This page was built for publication: A \(C^{k}\) continuous generalized finite element formulation applied to laminated Kirchhoff plate model
