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February 28, 2026Journal of Biomechanical Engineering0 citationsOpen Access

Recent Advances in The Virtual Fields Method for Evaluating and Identifying Tissue Biomechanical Properties and Constitutive Parameters

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SAStéphane Avril

Key Points

  • To summarize recent developments in the virtual fields method for identifying biomechanical properties of soft tissues.
  • Reviewed full-field measurement techniques for evaluating soft tissues.
  • Discussed advancements in virtual fields method formulation and accessibility.
  • Examined techniques for identifying variable constitutive parameters and their inelastic behavior.
  • Highlighted novel applications in vivo and integration with machine learning.
  • Identified improvements in virtual fields accessibility for soft tissue analysis.
  • Enhanced robustness in recognizing spatial variations in tissue properties.
  • Expanded the understanding of inelastic behavior in soft tissues.
  • Demonstrated potential for real-time clinical applications of the VFM.

Abstract

The derivation of material parameters for soft tissues has recently been transformed by advances in full-field measurement techniques providing high-resolution, volume-wide displacement data in soft tissues, either in vivo or in vitro during experimental tests. In this context, the virtual fields method (VFM), which is an inverse mechanics technique leveraging full-field deformation data and equilibrium principles, is flourishing. This review first provides the background on which the VFM is founded for the identification of constitutive parameters of soft tissue mechanics, focusing first on hyperelastic constitutive models. Then we review recent advances of the VFM in biomechanical contexts along the following trends: 1. formulation of a more accessible and modern VFM where virtual fields are automatically generated, 2. enhancement of robustness for the identification of regionally variable constitutive parameters, 3. extension to inelastic constitutive behavior, 4. novel in vivo applications and 5. novel machine-learning integration. These recent advances pave the way to real-time clinical applications of the VFM for complex soft tissue modeling.

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Cite This Study

Stéphane Avril (2026) studied this question.

synapsesocial.com/papers/69a286240a974eb0d3c00f39https://doi.org/10.1115/1.4071211
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