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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Updated: Mar 22, 2026

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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Logarithmic rate based elasto-viscoplastic cyclic constitutive model for soft biological tissues.

Yilin Zhu1, Guozheng Kang2, Chao Yu2

  • 1School of Architectural and Civil Engineering, Chengdu University, Chengdu 610106, PR China.

Journal of the Mechanical Behavior of Biomedical Materials
|April 25, 2016
PubMed
Summary

A new constitutive model accurately predicts the complex mechanical behaviors of soft biological tissues. This elasto-viscoplastic model captures nonlinear stress-strain responses, stress relaxation, creep, and ratcheting for improved biomechanical understanding.

Keywords:
AnisotropyConstitutive modelRatchettingSoft biological tissuesTime-dependence

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Area of Science:

  • Biomechanics
  • Materials Science
  • Computational Modeling

Background:

  • Soft biological tissues exhibit complex, nonlinear, time-dependent mechanical behaviors.
  • Existing models often struggle to capture the anisotropic and viscoelastic nature of these tissues.

Purpose of the Study:

  • To develop a thermodynamically consistent elasto-viscoplastic constitutive model for soft biological tissues.
  • To accurately describe nonlinear anisotropic stress-strain responses, stress relaxation, creep, and ratcheting.

Main Methods:

  • Utilized logarithmic rate and piecewise linearization theory within finite deformations.
  • Modeled tissues as composites of isotropic matrix and anisotropic fiber aggregation.
  • Formulated viscoplastic evolution equations using dissipation inequalities and co-directionality hypotheses.

Main Results:

  • The model successfully predicted nonlinear anisotropic monotonic stress-strain responses.
  • Accurate predictions were achieved for stress relaxation, creep, and ratcheting phenomena.
  • Model predictions showed good agreement with experimental data from three different soft tissues.

Conclusions:

  • The developed elasto-viscoplastic model provides a robust framework for simulating soft biological tissue biomechanics.
  • The model effectively captures the nonlinear and time-dependent characteristics of these complex materials.
  • This work advances the computational modeling of biological tissues for research and potential clinical applications.