Peridynamic modeling of membranes and fibers |
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| Institution: | 1. Computational Physics Department, MS-0378, Sandia National Laboratories, Albuquerque, NM 87185-0378, USA;2. Department of Engineering Mechanics, University of Nebraska – Lincoln, W317.6 Nebraska Hall, Lincoln, NE 68588, USA;1. Department of Naval Architecture and Marine Engineering, University of Strathclyde, Glasgow G4 0LZ, United Kingdom;2. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, United States;3. Institute of Structural Mechanics, Bauhaus-University, Weimar 99423, Germany;4. School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom;1. Department of Engineering Mechanics, Hohai University, Nanjing 210098, PR China;2. State Key Laboratory of Ocean Engineering and School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;3. Department of Civil and Environmental Engineering, Washington State University, Pullman, WA 99164-2910, USA |
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| Abstract: | The peridynamic theory of continuum mechanics allows damage, fracture, and long-range forces to be treated as natural components of the deformation of a material. In this paper, the peridynamic approach is applied to small thickness two- and one-dimensional structures. For membranes, a constitutive model is described appropriate for rubbery sheets that can form cracks. This model is used to perform numerical simulations of the stretching and dynamic tearing of membranes. A similar approach is applied to one-dimensional string like structures that undergrow stretching, bending, and failure. Long-range forces similar to van der Waals interactions at the nanoscale influence the equilibrium configurations of these structures, how they deform, and possibly self-assembly. |
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