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The last entrance plane method for contact indeterminacy between convex polyhedral blocks
Graphical abstract Display Omitted
Highlights The last entrance plane (LEP) principle is proposed based on contact theory. An efficient scheme is incorporated to handle genuine indeterminacy. Auxiliary simplex is used to get LEP with geometrical and kinematical information. LEP method resolves contact indeterminacy of 2D and 3D convex polyhedral blocks.
Abstract This study proposes the last entrance plane (LEP) principle to identify the physical contact plane, which is applicable to resolve contact indeterminacy between convex polyhedral blocks. Based on contact theory, the LEP principle reveals that the physical contact point lies on the last entrance plane. The LEP method is developed to identify the physical contact plane before penetration considering the geometrical and kinematical information. It offers a unified solution to contact indeterminacy between 2D convex polygonal and 3D convex polyhedral blocks. Using discontinuous deformation analysis, several numerical tests are evaluated to validate the accuracy and robustness of the LEP method.
The last entrance plane method for contact indeterminacy between convex polyhedral blocks
Graphical abstract Display Omitted
Highlights The last entrance plane (LEP) principle is proposed based on contact theory. An efficient scheme is incorporated to handle genuine indeterminacy. Auxiliary simplex is used to get LEP with geometrical and kinematical information. LEP method resolves contact indeterminacy of 2D and 3D convex polyhedral blocks.
Abstract This study proposes the last entrance plane (LEP) principle to identify the physical contact plane, which is applicable to resolve contact indeterminacy between convex polyhedral blocks. Based on contact theory, the LEP principle reveals that the physical contact point lies on the last entrance plane. The LEP method is developed to identify the physical contact plane before penetration considering the geometrical and kinematical information. It offers a unified solution to contact indeterminacy between 2D convex polygonal and 3D convex polyhedral blocks. Using discontinuous deformation analysis, several numerical tests are evaluated to validate the accuracy and robustness of the LEP method.
The last entrance plane method for contact indeterminacy between convex polyhedral blocks
Wang, Xi (author) / Wu, Wei (author) / Zhu, Hehua (author) / Zhang, Hong (author) / Lin, Jeen-Shang (author)
2019-09-27
Article (Journal)
Electronic Resource
English
A shrunken edge algorithm for contact detection between convex polyhedral blocks
Online Contents | 2015
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