Numerical simulation of the bending of a layered beam with prestressed layer under finite strains using the spectral element method
DOI10.2140/memocs.2022.10.85zbMath1498.74077OpenAlexW4306873844MaRDI QIDQ2099351
D. A. Konovalov, A. V. Vershinin, Konstantin M. Zingerman, Vladimir A. Levin
Publication date: 23 November 2022
Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/memocs.2022.10.85
nonlinear elasticitylayered beamsuperimposed finite deformationsvariable-order spectral element method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elasticity (74B20) Spectral and related methods applied to problems in solid mechanics (74S25)
Cites Work
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- Vibration analysis of non-linear 6-parameter prestressed shells
- A Lagrange multiplier method for the finite element solution of frictionless contact problems
- Theory of repeated superposition of large deformations: Elastic and viscoelastic bodies
- Growth and remodeling with application to abdominal aortic aneurysms
- Multiple joined prestressed orthotropic layers under large strains
- \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains. III: Error estimates, preconditioners, computational techniques and numerical results
- Extension of the Lamé-Gadolin problem for large deformations and its analytical solution
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
- Linear multipoint constraints applied via transformation as part of a direct stiffness assembly process
- Computational model for 3‐D contact problems with friction based on the penalty method
- An algorithm for multipoint constraints in finite element analysis
- Algebraic elimination of slide surface constraints in implicit structural analysis
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials
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