ON THE FORMULATION OF CONSTITUTIVE EQUATIONS FOR LIVING SOFT TISSUES,

Abstract

Soft living tissues deform freely under negligible stresses until a certain strain level is reached at which their stiffness increases sharply. Constitutive equations are developed that describe this kind of mechanical behavior and include Hooke's law as a limiting case. It is shown that, similar to Hooke's law, these constitutive equations assure uniqueness of solution for a broad class of boundary value problems. Possible extensions of the theory are briefly indicated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0662594

Entities

People

  • William Prager

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Constitutive Equations
  • Differential Equations
  • Equations
  • Mathematics
  • Soft Tissues
  • Stiffness
  • Tissues

Fields of Study

  • Mathematics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.
  • Theoretical Analysis.