Peridynamics via finite element analysis

Finite Elements in Analysis and Design

Volumn 43, Issue 15, 2007, Pages 1169-1178

  Macek, Richard W ^a   Silling, Stewart A ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Damage; Element; Finite; Fracture; Penetration; Peridynamics

Indexed keywords

CONTINUUM MECHANICS; CRACKS; FRACTURE; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SOLIDS; STRUCTURAL ANALYSIS;

MATHEMATICAL SINGULARITIES; MESHLESS PERIDYNAMIC APPROACH; MODEL FRACTURE; PERIDYNAMICS; PLAGUE CONVENTIONAL CONTINUUM APPROACHES;

FINITE ELEMENT METHOD;

EID: 35548984023     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2007.08.012     Document Type: Article

References (11)

1. Silling S.A. Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48 (2000) 175-209
2. Silling S.A., Zimmermann M., and Abeyaratne R. Deformation of a peridynamic bar. J. Elasticity 73 (2003) 173-190
3. S.A. Silling, E. Askari, Peridynamic modeling of impact damage, in: F.J. Moody (Ed.), Problems Involving Thermal-Hydraulics, Liquid Sloshing, and Extreme Loads on Structures, American Society of Mechanical Engineers, New York, 2004, PVP-vol. 489, pp. 197-205.
4. Silling S.A., and Askari E. A meshfree method based on the peridynamic model of solid mechanics. Comput. Struct. 83 (2005) 1526-1535
5. Silling S.A., and Bobaru F. Peridynamic modeling of membranes and fibers. Int. J. Non-Linear Mech. 40 (2005) 395-409
6. Weckner O., and Abeyaratne R. The effect of long-range forces on the dynamics of a bar. J. Mech. Phys. Solids 53 (2005) 705-728
7. EMU website, www.sandia.gov/emu/emu.htm.
8. Lapidus L., and Pinder G.F. Numerical Solution of Partial Differential Equations in Science and Engineering (1982), Wiley, New York p. 171
9. ABAQUS/Explicit Version 6.6 User's Manual, ABAQUS Inc., Providence, Rhode Island, 2006.
10. H. Tada, The Stress Analysis of Cracks Handbook, Del Research Corporation, St. Louis, 1973, pp. 2.1-2.3.
11. W. Johnson, Impact Strength of Materials, Edward Arnold, London, 1972, pp. 138-146, 330-336.