Peridynamic modeling of plain and reinforced concrete structures.

Silling, Stewart Andrew; Gerstle, Walter H; Sau, Nicolas

Title: Peridynamic modeling of plain and reinforced concrete structures.

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Abstract

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.

Authors:

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

University of New Mexico, Albuquerque NM

Publication Date:: Mon Aug 01 00:00:00 EDT 2005

Research Org.:: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 947772

Report Number(s):: SAND2005-1658C
TRN: US200905%%260

DOE Contract Number:: AC04-94AL85000

Resource Type:: Conference

Resource Relation:: Conference: Proposed for presentation at the 18th International Conference on Structural Mechanics in Reactor Technology (SMIRT-18) held August 7-12, 2005 in Beijing, China.

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; REACTOR TECHNOLOGY; REINFORCED CONCRETE; SIMULATION; STRAINS

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                    Silling, Stewart Andrew, Gerstle, Walter H, and Sau, Nicolas. Peridynamic modeling of plain and reinforced concrete structures..  United States: N. p., 2005. 
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                    Silling, Stewart Andrew, Gerstle, Walter H, & Sau, Nicolas. Peridynamic modeling of plain and reinforced concrete structures..  United States.

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                    Silling, Stewart Andrew, Gerstle, Walter H, and Sau, Nicolas. 2005.  
        "Peridynamic modeling of plain and reinforced concrete structures.".  United States.

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@article{osti_947772,

  title        = {Peridynamic modeling of plain and reinforced concrete structures.},

  author       = {Silling, Stewart Andrew and Gerstle, Walter H and Sau, Nicolas},

  abstractNote = {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.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/947772},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Mon Aug 01 00:00:00 EDT 2005},

  month        = {Mon Aug 01 00:00:00 EDT 2005}

}

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