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Constitutive Functions of Elastic Materials in Finite Growth and Deformation

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Abstract

The constitutive functions of soft biological tissues during growth are studied. A growth, treated as addition (often non-uniform) of material points, results in deformation, residual stresses, and evolution of the constitutive functions. A theory based on the concept of equivalent material points is developed with the current configuration taken as the reference. The residual stresses developed in a spherical shell undergoing spherical growths are studied.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Houston, Houston, TX, 77204, U.S.A.

    Yi-chao Chen

  2. Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, LaJolla, CA, 92093, U.S.A.

    Anne Hoger

Authors
  1. Yi-chao Chen
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  2. Anne Hoger
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Chen, Yc., Hoger, A. Constitutive Functions of Elastic Materials in Finite Growth and Deformation. Journal of Elasticity 59, 175–193 (2000). https://doi.org/10.1023/A:1011061400438

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