Some \(C^0\)-continuous mixed formulations for general dipolar linear gradient elasticity boundary value problems and the associated energy theorems
From MaRDI portal
Publication:837315
DOI10.1016/J.IJSOLSTR.2008.01.021zbMath1169.74345OpenAlexW2013040887MaRDI QIDQ837315
D. A. Tsouvalas, S. I. Markolefas, G. I. Tsamasphyros
Publication date: 10 September 2009
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.01.021
Finite element methods applied to problems in solid mechanics (74S05) Polar materials (74A35) Elastic materials (74B99)
Related Items (5)
Dynamic finite element analysis of a gradient elastic bar with micro-inertia ⋮ On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale ⋮ Finite element analysis of plane strain solids in strain-gradient elasticity ⋮ Mixed finite element formulation for the general anti-plane shear problem, including mode III crack computations, in the framework of dipolar linear gradient elasticity ⋮ Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients
- A mixed finite element method for fourth order elliptic equations with variable coefficients
- The p- and h-p versions of the finite element method. An overview
- Boundary element analysis of mode I and mixed mode (I and II) crack problems of 2D gradient elasticity
- A discourse on the stability conditions for mixed finite element formulations
- Mixed finite element formulations of strain-gradient elasticity problems
- A boundary element method for solving 2-D and 3-D static gradient elastic problems. I: Integral formulation.
- Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity
- Bending and stability analysis of gradient elastic beams
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- Static and dynamic analysis of a gradient-elastic bar in tension
- Convergence and performance of theh- and p-extensions with mixed finite elementc0-continuity formulations, for tension and buckling of a gradient elastic beam
- Theoretical analysis of a class of mixed, \(C^{0}\) continuity formulations for general dipolar gradient elasticity boundary value problems
- Multipolar continuum mechanics
- Energy theorems and the \(J\)-integral in dipolar gradient elasticity
- Structural analysis of gradient elastic components
- On first strain-gradient theories in linear elasticity
- Micro-structure in linear elasticity
- Analysis of Mixed Methods Using Mesh Dependent Norms
- Finite elements. Theory, fast solvers and applications in elasticity theory
This page was built for publication: Some \(C^0\)-continuous mixed formulations for general dipolar linear gradient elasticity boundary value problems and the associated energy theorems
