Univariate Gauss quadrature for structural modelling of tissues and materials with distributed fibres

DOI10.1016/j.cma.2023.116281OpenAlexW4385506124MaRDI QIDQ6096504

Ben R. Britt, Alexander E. Ehret

Publication date: 12 September 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2023.116281

zbMATH Keywords

anisotropymultiscale modellingstatistical momentsmoment-based quadraturegeneralised structural tensorsstretch distribution

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (1)

Moment-based, univariate \(n\)-point quadrature rules in application to the full network model of rubber elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the accuracy of numerical integration over the unit sphere applied to full network models
• Efficient evaluation of the material response of tissues reinforced by statistically oriented fibres
• Anisotropic micro-sphere-based finite elasticity applied to blood vessel modelling
• Stereological determination of structural anisotropy
• New spherical 4-designs
• Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity
• An average-stretch full-network model for rubber elasticity
• Numerical differentiation for local and global tangent operators in computational plasticity
• A generalized statistical approach for modeling fiber-reinforced materials
• On the tension-compression switch in soft fibrous solids
• Multi-scale structural modeling of soft tissues mechanics and mechanobiology
• Transversely isotropic higher-order averaged structure tensors
• A three-dimensional nonlinear model for dissipative response of soft tissue.
• McLaren's improved snub cube and other new spherical designs in three dimensions
• A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity
• On the use of non-linear transformations for the evaluation of anisotropic rotationally symmetric directional integrals. Application to the stress analysis in fibred soft tissues
• Numerical integration on the sphere and its effect on the material symmetry of constitutive equations-A comparative study
• A microsphere-based remodelling formulation for anisotropic biological tissues
• Efficient Numerical Integration on the Surface of a Sphere
• Quadratures on a sphere
• A note on integration schemes for the microplane model of the mechanical behaviour of concrete
• A Full-Network Rubber Elasticity Model based on Analytical Integration
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

This page was built for publication: Univariate Gauss quadrature for structural modelling of tissues and materials with distributed fibres