Predictive Simulation of Material Failure Using Peridynamics -- Advanced Constitutive Modeling, Verification and Validation

Abstract

Peridynamics is a nonlocal formulation of continuum mechanics in which forces are calculated as integral functions of displacement fields rather than spatial derivatives. The peridynamic model has major advantages over classical continuum mechanics when displacements are discontinuous, such as in the case of material failure. While multiple peridynamic material models capture the behavior of solid materials, not all structures are conveniently analyzed as solids. Finite Element Analysis often uses 1D and 2D elements to model thin features that would otherwise require a great number of 3D elements, but peridynamic thin features remain underdeveloped despite great interest in the engineering community. This work develops nonordinary state-based peridynamic models for the simulation of thin features. Beginning from an example nonordinary state-based model, lower dimensional peridynamic models of plates, beams, and shells are developed and validated against classical models. These peridynamic models are extended to incorporate brittle and plastic material failure, compounding the peridynamic ad- vantages of discontinuity handling with the computational simplicity of reduced- dimension features. These models will allow peridynamic modeling of complex structures such as aircraft skin that may experience damage from internal forces or external impacts.

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Document Details

Document Type
Technical Report
Publication Date
Mar 31, 2016
Accession Number
AD1016225

Entities

People

  • Harry Millwater
  • James O’grady
  • John T. Foster

Organizations

  • University of Texas at San Antonio

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Composite Materials
  • Computational Fluid Dynamics
  • Computational Science
  • Continuum Mechanics
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Failure Mode And Effect Analysis
  • Finite Element Analysis
  • Laminates
  • Materials Laboratories
  • Materials Science
  • Mathematical Analysis
  • Mechanics
  • Partial Differential Equations
  • Plastic Properties
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Computational Fluid Dynamics (CFD)
  • Structural Health Monitoring of Composite Structures.