novel nonlocal lattice particle framework for modeling of solidsA
A novel, alternative, and systematic framework based on a nonlocal lattice particle model is proposed in this study. The uniqueness of the proposed model is the inclusion of both pair-wise local and multi-body nonlocal potentials in the formulation. First, the basic ideas of the proposed framework for 2D isotropic solid are presented. Derivations for triangular and square lattice structure are discussed in detail. Both mechanical deformation and fracture process are simulated and model verification and validation are performed with existing analytical solutions and experimental observations. Following this, the extension to general 3D isotropic solids based on the proposed local and nonlocal potentials is given. Three cubic lattice structures are discussed in detail. Failure predictions using the 3D simulation are compared with experimental testing results and very good agreement is observed. Next, a lattice rotation scheme is proposed to account for the material orientation in modeling anisotropic solids. The consistency and difference compared to the classical material tangent stiffness transformation method are discussed in detail. The implicit and explicit solution methods for the proposed lattice particle model are also discussed. Finally, some conclusions and discussions based on the current study are drawn at the end.]]>autChen, HailongthsLiu, YongmingdgcJiao, YangdgcMignolet, MarcdgcOswald, JaydgcSolanki, KiranpblArizona State UniversityengPartial requirement for: Ph. D., Arizona State University, 2015Includes bibliographical references (pages 193-208)Field of study: Mechanical engineeringby Hailong Chenhttps://hdl.handle.net/2286/R.I.3478200Doctoral DissertationAcademic thesesxiii, 223 pages : illustrations (some color)114398302191630348070153841adminIn CopyrightAll Rights Reserved2015TextengineeringMechanical EngineeringMechanicsAnisotropic MaterialsElasticityFractureLattice Spring ModelNonlocal PotentialPolycrystalline MaterialsFracture mechanicsPolycrystalsSolids--Mechanical properties.Solids