Visualising elastic anisotropy: theoretical background and computational implementation

DOI10.1007/s00161-018-0635-9zbMath1396.74002OpenAlexW2793633424WikidataQ130201539 ScholiaQ130201539MaRDI QIDQ1790126

M. Aßmus, J. Nordmann, Holm Altenbach

Publication date: 2 October 2018

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-018-0635-9

zbMATH Keywords

linear elasticityanisotropyMATLABvisualisation

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical and other methods in solid mechanics (74S99) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (6)

Phase-field material point method for dynamic brittle fracture with isotropic and anisotropic surface energy ⋮ Two-stage 2D-to-3d reconstruction of realistic microstructures: implementation and numerical validation by effective properties ⋮ \textsc{El}\textit{A}\textsc{Tools}: a tool for analyzing anisotropic elastic properties of the 2D and 3D materials ⋮ MyElas: an automatized tool-kit for high-throughput calculation, post-processing and visualization of elasticity and related properties of solids ⋮ A mesoscopic model for particle-reinforced composites ⋮ Derivation of a mesoscopic model for nonlinear particle-reinforced composites from a fully microscopic model

Uses Software

• Matlab
• ElAM
• ELATE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mechanics of anisotropic materials
• ElAM: A computer program for the analysis and representation of anisotropic elastic properties
• A more fundamental approach to damaged elastic stress-strain relations
• Generalized Cowin-Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight
• Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity
• Matrix representations for 3D strain-gradient elasticity
• Material symmetry and thermostatic inequalities in finite elastic deformations
• Elasticity and Plasticity of Large Deformations
• Kontinuumsmechanik
• EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS
• Generalized Hooke's law for isotropic second gradient materials
• PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR
• Spectral Decomposition of the Elasticity Tensor

This page was built for publication: Visualising elastic anisotropy: theoretical background and computational implementation