Incompressible, quasi-rigid deformations of 2-dimensional domains
Gershon Wolansky
TL;DR
This paper introduces a new metric for measuring incompressible, area-preserving deformations between 2D surfaces, along with an algorithm to compute this metric and the optimal deformation.
Contribution
It provides a novel deformation metric and an algorithm to compute the optimal incompressible deformation between 2D domains.
Findings
Defined a new deformation metric for incompressible mappings
Developed an algorithm to compute the metric and optimal deformation
Applicable to 2D surface deformation analysis
Abstract
his paper proposes a sensible definition of a deformation metric between 2-dimensional surfaces obtained from each other by an area preserving (incompressible) mapping, and an algorithm for obtaining this metric, as well as the optimal deformation.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Elasticity and Wave Propagation · Elasticity and Material Modeling