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University of New Mexico

The State-Based Peridynamic Lattice Model

Abstract

dc:description.abstract

The reigning material model of today is continuum mechanics. Continuum mechanics assumes that a material is continuous and can be represented by mathematical functions. This is an unreasonable assumption for concrete due in part to the fact that concrete cracks and the continuum mechanics model cannot directly handle fracture. In response to some of the limitations of continuum mechanics, Silling proposed a new method called peridynamics. Peridynamics assumes that a material is made up of particles which interact with each other via forces. In this thesis we introduce the state-based peridynamic lattice model (SPLM) and describe its fundamental assumptions. SPLM discretizes a body into a finite number of particles that are arranged by a hexagonal close-packed lattice. We present a SPLM linear-elasticity and plasticity model that has been derived from the classical model. We then conclude this thesis with several benchmark examples and a look forward to future research.

Degree

thesis:*
Name thesis:degree_name
Civil Engineering
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Civil Engineering
Year
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Richardson, Raybea
Contributors dc:contributor
  • Gerstle, Walter
  • Maji, Arup
  • Ross, Timothy

Subjects

dc:subject × 3

Rights

Language dc:language
English

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:digitalrepository.unm.edu:ce_etds-1102

Chain of custody

source
Harvested from
University of New Mexico
Base URL
digitalrepository.unm.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Richardson, Raybea. The State-Based Peridynamic Lattice Model. Thesis thesis, 2014. http://hdl.handle.net/1928/24511