Finite Element Mapping for Spring Network Representations of the Mechanics of Solids
- 15 July 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 93 (3), 034302
- https://doi.org/10.1103/physrevlett.93.034302
Abstract
We present a general finite element mapping procedure for defining spring network representations of solid mechanics. The procedure is rigorous and equally suitable for setting regular and unstructured spring network models of generally anisotropic solids. We use the procedure to define close-packed triangular and simple cubic lattice spring models of isotropic 2D and 3D elastic media, respectively. We extend the study to heterogeneous solids and show that the mapped spring network approach constitutes an appealing route for incorporating subelement level constitutive equations.Keywords
This publication has 20 references indexed in Scilit:
- Spring network models in elasticity and fracture of composites and polycrystalsComputational Materials Science, 1996
- New method for simulating fracture using an elastically uniform random geometry latticeInternational Journal of Engineering Science, 1996
- Percolation and fracture in disordered solids and granular media: Approach to a fixed pointPhysical Review Letters, 1992
- Fracture of disordered, elastic lattices in two dimensionsPhysical Review B, 1989
- Elastic fracture in random materialsPhysical Review B, 1988
- Microscopic fracture studies in the two-dimensional triangular latticePhysical Review B, 1976
- Effect of Invariance Requirements on the Elastic Strain Energy of Crystals with Application to the Diamond StructurePhysical Review B, 1966
- Dynamical Theory of Crystal LatticesAmerican Journal of Physics, 1955
- The Skeletal Modes of Vibration of Long Chain MoleculesThe Journal of Chemical Physics, 1939
- Zur Raumgittertheorie des DiamantenAnnalen der Physik, 1914