Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Computer Graphics Techniques for Modeling Cloth
IEEE Computer Graphics and Applications
Approximate simulation of elastic membranes by triangulated spring meshes
Journal of Graphics Tools
A general framework for surface modeling using geometric partial differential equations
Computer Aided Geometric Design
Consistent computation of first- and second-order differential quantities for surface meshes
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Computer Aided Geometric Design
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We investigate the curvature effect of a thin, curved elastic interface that separates two subdomains and exerts a pressure due to a curvature effect. This pressure, which we refer to as interface pressure, is similar to the surface tension in fluid mechanics. It is important in some applications, such as the canopy of parachutes, biological membranes of cells, balloons, airbags, etc., as it partially balances a pressure jump between the two sides of an interface. In this paper, we show that the interface pressure is equal to the trace of the matrix product of the curvature tensor and the Cauchy stress tensor in the tangent plane. We derive the theory for interfaces in both 2-D and 3-D, and present numerical discretizations for computing the quality over triangulated surfaces.