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Title: Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach

Journal Article · · Journal of Peridynamics and Nonlocal Modeling
ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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Here, we present a novel procedure to calibrate bond micromoduli in a discrete bond-based peridynamics setting. Conventionally, an analytical expression has been used based on strain energy equivalence. In the present work, the micromoduli for individual bonds in a neighborhood are calibrated by equating the effective peridynamic stiffness to the reference material stiffness and posed as a set of linear system of equations. The solution to this is found by a least squares approach which aims to reduce the error in the components of the stiffness matrix. Finally, results for an isotropic case in a local neighborhood of particles are shown to demonstrate the feasibility of this approach.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1489956
Report Number(s):
LA-UR-18-23644
Journal Information:
Journal of Peridynamics and Nonlocal Modeling, Vol. 1, Issue 1; ISSN 2522-896X
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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Figures / Tables (11)

Figure 1(p. 2)figure Figure 1
Figure 2(p. 4)figure Figure 2
Figure-3(p. 10)figure Figure-3
Figure 4(p. 11)figure Figure 4
Table 1(p. 11)table Table 1
Table 2(p. 12)table Table 2
Table 3(p. 12)table Table 3
Figure 5(p. 13)figure Figure 5
Table 4(p. 13)table Table 4
Table 5(p. 13)table Table 5
Figure A.6(p. 15)figure Figure A.6

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Related Subjects

97 MATHEMATICS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Peridynamics
Surface effects
Micromoduli