A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics
DOI10.1016/j.cma.2018.01.001zbMath1440.74021OpenAlexW2789987342MaRDI QIDQ2310876
Publication date: 7 April 2020
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.2018.01.001
entropystochastic modelingnonlinear elasticityhyperelasticityuncertainty quantificationsoft biological tissues
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Random materials and composite materials (74A40) Biomechanical solid mechanics (74L15)
Related Items (19)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- A Mathematical Theory of Communication
- On the statistical dependence for the components of random elasticity tensors exhibiting material symmetry properties
- Spatial models generated by nested stochastic partial differential equations, with an application to global ozone mapping
- Probabilistic models for stochastic elliptic partial differential equations
- Reduced chaos decomposition with random coefficients of vector-valued random variables and random fields
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Identification of Bayesian posteriors for coefficients of chaos expansions
- Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
- Convexity conditions and existence theorems in nonlinear elasticity
- Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
- On numerically accurate finite element solutions in the fully plastic range
- A random field formulation of Hooke's law in all elasticity classes
- Determination of material models for arterial walls from uniaxial extension tests and histological structure
- Hyperelastic energy densities for soft biological tissues: a review
- Stochastic continuum modeling of random interphases from atomistic simulations. Application to a polymer nanocomposite
- A polyconvex framework for soft biological tissues. Adjustment to experimental data
- Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- Stochastic Model and Generator for Random Fields with Symmetry Properties: Application to the Mesoscopic Modeling of Elastic Random Media
- Preconditioned Krylov Subspace Methods for Sampling Multivariate Gaussian Distributions
- A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity
- Handbook of Uncertainty Quantification
- Approximate Solutions of Lagrange Multipliers for Information-Theoretic Random Field Models
- Introduction to Uncertainty Quantification
- Classical and all-floating FETI methods for the simulation of arterial tissues
- Exploring a New Class of Non-stationary Spatial Gaussian Random Fields with Varying Local Anisotropy
- Information Theory and Statistical Mechanics
- An overview of the Trilinos project
- Constitutive modelling of arteries
- Spectral Methods for Uncertainty Quantification
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- An Existence Theorem for Slightly Compressible Materials in Nonlinear Elasticity
- Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
- Gaussian Markov Random Fields
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Random field representations for stochastic elliptic boundary value problems and statistical inverse problems
- Microstructural Randomness and Scaling in Mechanics of Materials
- Direct methods in the calculus of variations
- A new constitutive framework for arterial wall mechanics and a comparative study of material models
This page was built for publication: A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics