Large Deformation Failure Mechanisms in Nonlinear Solids.

Abstract

This work was concerned with research on fundamental mechanics and mathematics of large deformation induced failures in nonlinear solids. The specific area investigated was that of void nucleation and growth due to large deformations in nonlinear solids. Research on cavitation phenomena, which serve as a precursor to fracture, is crucial to the understanding of failure mechanisms in rubber-like solids (e.g. polymers, solid rocket propellants) and of ductile fracture processes in metals. Mathematically, the work involves investigation of singular solutions of the second-order quasilinear system of partial differential equations describing equilibrium states of nonlinearly elastic bodies. For radially symmetric deformations, the basic problem reduces to a bifurcation problem for a single second-order nonlinear ordinary differential equation. Particular emphasis was placed on the effect of material inhomogeneity, compressibihtt and anisotropy on void nucleation and growth.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1995
Accession Number
ADA308228

Entities

People

  • Cornelius O. Horgan

Organizations

  • University of Virginia

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Applied Mechanics
  • Boundary Value Problems
  • Composite Materials
  • Differential Equations
  • Engineering
  • Equations
  • Failure Mode And Effect Analysis
  • Materials
  • Materials Science
  • Mathematics
  • Mechanics
  • National Security
  • Partial Differential Equations
  • Rocket Propellants
  • Solid Rocket Propellants

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.
  • Thin Film Deposition Science.