A meshless method for the nonlinear von Kármán plate with multiple folds of complex shape. A bridge between cracks and folds

DOI10.1007/s00466-019-01671-wzbMath1465.74178OpenAlexW2917200162WikidataQ113327154 ScholiaQ113327154MaRDI QIDQ2322968

Davide Grignoli, Leonardo Ventura, Emiliano Bilotti, Ettore Barbieri

Publication date: 30 August 2019

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-019-01671-w

zbMATH Keywords

meshless shape function discretizationMindlin-Reissner kinematicsrotation discontinuity

Mathematics Subject Classification ID

Plates (74K20) Numerical and other methods in solid mechanics (74S99)

Uses Software

• Matlab

Cites Work

• Unnamed Item
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• A fast object-oriented MATLAB implementation of the reproducing kernel particle method
• A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• A phase-field description of dynamic brittle fracture
• Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative
• Approximate solution of the trust region problem by minimization over two-dimensional subspaces
• Folding flat silhouettes and wrapping polyhedral packages: New results in computational origami
• Boundary value problems for anisotropic plates with internal line hinges
• Three-dimensional crack propagation with distance-based discontinuous kernels in meshfree methods
• On elimination of shear locking in the element‐free Galerkin method
• A new weight-function enrichment in meshless methods for multiple cracks in linear elasticity
• BUCKLING OF RECTANGULAR PLATES WITH INTERNAL HINGE
• Buckling of folded plate structures subjected to partial in-plane edge loads by the FSDT meshfree Galerkin method
• Eliminating Shear-Locking in Meshless Methods: A Critical Overview and a New Framework for Structural Theories
• Geometric non-linear analysis of folded plate structures by the spline strip kernel particle method
• Origamizer: A Practical Algorithm for Folding Any Polyhedron
• Enriched Reproducing Kernel Approximation: Reproducing Functions with Discontinuous Derivatives
• Reproducing kernel particle methods
• A finite element method for crack growth without remeshing
• Cracking particles: a simplified meshfree method for arbitrary evolving cracks
• Novel Superfluids