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Biomechanical Modeling of Surface Wrinkling of Soft Tissues with Growth-Dependent Mechanical Properties

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Abstract

This paper explores growth induced morphological instabilities in biological soft materials. In view of that the growth of a living tissue not only changes its geometry but also can alter its mechanical properties, we suggest a refined volumetric growth model incorporating the effects of growth on the mechanical properties of materials. Analogy between this volumetric growth model and the conventional thermal stress model is addressed for both small and finite deformation problems, which brings great ease for the finite element analysis based on the suggested model. Examples of growth induced surface wrinkling behavior in soft composites, including core-shell soft cylinders and three-layered soft tissues, are explored. The results and discussions foresee possible applications of the model in understanding the correlation between the morphogenesis and growth of soft biological tissues (e.g. skins and tumors), as well as in evaluating the deformation and surface instability behavior of soft artificial materials induced by swelling/shrinkage.

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Authors and Affiliations

  1. Institute of Biomechanics and Medical Engineering, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

    Yanping Cao, Yi Jiang, Bo Li & Xiqiao Feng

Authors
  1. Yanping Cao
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  2. Yi Jiang
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  3. Bo Li
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  4. Xiqiao Feng
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Corresponding authors

Correspondence to Yanping Cao or Xiqiao Feng.

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos. 10972112 and 11172155), Tsinghua University, and 973 Program (2010CB631005).

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Cao, Y., Jiang, Y., Li, B. et al. Biomechanical Modeling of Surface Wrinkling of Soft Tissues with Growth-Dependent Mechanical Properties. Acta Mech. Solida Sin. 25, 483–492 (2012). https://doi.org/10.1016/S0894-9166(12)60043-3

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60043-3

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