General Corotational Rate Tensor and Replacement to Corotational Derivative of Yield Function

Corotational Simulation of Deformable Solids

The classical formulation of large displacement visco-elasticity requires the geometrically nonlinear Green tensor. Keeping track of the rotational part of strain permits alternative formulations, that allow the tensor to stay linear, and at the same time maintaining rotational invariance. We replace a recently proposed heuristical warping technique by the application of the polar decomposition...

A Feti Solver for Corotational Nonlinear Problems

Energy-Conserving Algorithms for a Corotational Formulation

Standard nonlinear schemes for the the simulation of elastodynamic problems have several shortcomings when considering high-speed rotations. To tackle these problems, we use a corotational framework and a corresponding specific linearization to design new energy-conserving numerical schemes. In the two-dimensional case, an algorithm preserving also angular momentum is presented. The existence o...

Adaptive cloth simulation using corotational finite elements

In this article we introduce an efficient adaptive cloth simulation method which is based on a reversible √ 3refinement of corotational finite elements. Our novel approach can handle arbitrary triangle meshes and is not restricted to regular grid meshes which are required by other adaptive methods. Most previous works in the area of adaptive cloth simulation use discrete cloth models like mass-...

Fast corotational simulation for example-driven deformation

We present a fast corotational finite element framework for example-driven deformation of 3-dimensional solids. An example-driven deformation space and an example space energy is constructed by introducing the modified linear Cauchy strain with rotation compensation. During this simulation, our adopted total energy functional is quadratic, and its corresponding optimization can be quickly worke...