SECOND GRADIENT OF STRAIN AND SURFACE-TENSION IN LINEAR ELASTICITY.

Abstract

In this paper there is formulated a linear theory of deformation of an elastic solid in which the potential energy-density is a function of the strain and its first and second gradients. This is a theory in which cohesive force and surface-tension are intrinsic. A solution is given for the strain and surface-tension, or surface-energy per unit area, resulting from separation of a solid along a plane; and a comparison is made with an analogous lattice model. Also presented are a general solution of the displacement-equations of equilibrium in terms of stress functions and the particular solution for the concentrated force. The special case of a liquid is considered and the solutions are given for the surface-tension at plane and spherical surfaces. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0470155

Entities

People

  • Raymond D. Mindlin

Organizations

  • Columbia University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Displacement
  • Elastic Properties
  • Energy
  • Equations
  • Mathematics
  • Physical Properties
  • Potential Energy
  • Surface Energy
  • Surface Tension

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.