期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 471, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2022.111607
关键词
Crumpling; Differential -algebraic systems; Elastoplasticity
资金
- National Science Foundation through the Harvard University Materials Research Science and Engineering Center [DMR-1420570, DMR-2011754]
- National Energy Research Scientific Computing Center under NERSC award [ASCRERCAP-0018643]
- National Science Foundation Graduate Research Fellowship Program [DGE-1745303]
- Applied Mathematics Program of the U.S. DOE Office of Science Advanced Scientific Computing Research [DE-AC02-05CH11231]
This work presents a method for simulating the deformation and crumpling of thin, elastoplastic sheets. Two different formulations, quasistatic and dynamic, are used to describe the motion of the sheets. The method shows effectiveness in simulating various crumpling phenomena and is consistent with experimental observations.
In this work, we present a method for simulating the large-scale deformation and crumpling of thin, elastoplastic sheets. Motivated by the physical behavior of thin sheets during crumpling, two different formulations of the governing equations of motion are used: (1) a quasistatic formulation that effectively describes smooth deformations, and (2) a fully dynamic formulation that captures large changes in the sheet's velocity. The former is a differential-algebraic system of equations integrated implicitly in time, while the latter is a set of ordinary differential equations (ODEs) integrated explicitly. We adopt a hybrid integration scheme to adaptively alternate between the quasistatic and dynamic representations as appropriate. We demonstrate the capacity of this method to effectively simulate a variety of crumpling phenomena. Finally, we show that statistical properties, notably the accumulation of creases under repeated loading, as well as the area distribution of facets, are consistent with experimental observations.(c) 2022 Elsevier Inc. All rights reserved.
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