Abstraction and operator characterization of fractal ladder viscoelastic hyper-cell for ligaments and tendons

DOI10.1007/S10483-019-2524-8zbMath1431.74087OpenAlexW2965470069MaRDI QIDQ2304186

Jianqiao Guo, Ge-Xue Ren, Ya-jun Yin

Publication date: 6 March 2020

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-019-2524-8

zbMATH Keywords

stress relaxationoperator methodfractal ladder topologyligament and tendon (LT)

Mathematics Subject Classification ID

Biomechanical solid mechanics (74L15) Nonlinear constitutive equations for materials with memory (74D10) Fractals (28A80)

Cites Work

• Unnamed Item
• A physically based connection between fractional calculus and fractal geometry
• Fractional differential equations and related exact mechanical models
• Fractal geometry and topology abstracted from hair fibers
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Transversely isotropic biological, soft tissue must be modelled using both anisotropic invariants
• Mechanical properties of nanostructure of biological materials
• Tissue Mechanics
• Fractional calculus in the transient analysis of viscoelastically damped structures
• Physically based strain invariant set for materials exhibiting transversely isotropic behavior

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