Peridynamic modeling of plain and reinforced concrete structures.

Conference · Mon Aug 01 04:00:00 UTC 2005

OSTI ID:947772

Silling, Stewart Andrew; Gerstle, Walter H ^[1]; Sau, Nicolas ^[1]

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1. University of New Mexico, Albuquerque NM

The peridynamic model was introduced by Silling in 1998. In this paper, we demonstrate the application of the quasistatic peridynamic model to two-dimensional, linear elastic, plane stress and plane strain problems, with special attention to the modeling of plain and reinforced concrete structures. We consider just one deviation from linearity--that which arises due to the irreversible sudden breaking of bonds between particles. The peridynamic model starts with the assumption that Newton's second law holds true on every infinitesimally small free body (or particle) within the domain of analysis. A specified force density function, called the pairwise force function, (with units of force per unit volume per unit volume) between each pair of infinitesimally small particles is postulated to act if the particles are closer together than some finite distance, called the material horizon. The pairwise force function may be assumed to be a function of the relative position and the relative displacement between the two particles. In this paper, we assume that for two particles closer together than the specified 'material horizon' the pairwise force function increases linearly with respect to the stretch, but at some specified stretch, the pairwise force function is irreversibly reduced to zero.

• Research Organization: Sandia National Laboratories
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 947772
• Report Number(s): SAND2005-1658C
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
REACTOR TECHNOLOGY
REINFORCED CONCRETE
SIMULATION
STRAINS