Reconstruction of nonuniform residual stress for soft hyperelastic tissue via inverse spectral techniques

DOI10.1016/j.ijengsci.2014.05.004zbMath1423.74620OpenAlexW2083121702MaRDI QIDQ1627084

Jay R. Walton, Kun Gou

Publication date: 22 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2014.05.004

zbMATH Keywords

optimizationinverse problemSturm-Liouville problemresidual stressarterial wallintravascular ultrasound

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15) Computational methods for problems pertaining to biology (92-08)

Related Items (4)

Three-dimensional biomechanics of coronary arteries ⋮ Nonlinear biomechanics of bifurcated atherosclerotic coronary arteries ⋮ Identification of the Lamé parameters of an inhomogeneous pipe based on the displacement field data ⋮ In vivo based biomechanics of right and left coronary arteries

Uses Software

• SLEIGN2
• fminsearch

Cites Work

• Unnamed Item
• Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress
• On the residual stress possible in an elastic body with material symmetry
• Residual stress in an elastic body: A theory for small strains and arbitrary rotations
• The dependence of the elasticity tensor on residual stress
• Recovery of material parameters of soft hyperelastic tissue by an inverse spectral technique
• Swelling induced finite strain flexure in a rectangular block of an isotropic elastic material
• On the determination of residual stress in an elastic body
• The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials
• Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing
• Compatibility and the genesis of residual stress by volumetric growth
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• The reconstruction of Sturm-Liouville operators
• The Recovery of Potentials from Finite Spectral Data
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Solving Nonlinear Equations with Newton's Method
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
• A Simplex Method for Function Minimization
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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