FEM simulation of 3D deformable solids

Sifakis, Eftychios; Barbič, Jernej

doi:10.1145/2343483.2343501

Cited by 226 publications

(56 citation statements)

References 45 publications

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“…For overviews of h-adaptive methods, which subdivide elements into smaller ones, see Oden and Demkowicz [1989] and Jones and Plassmann [1997]. In computer graphics, mesh refinement [Debunne et al 2001;Capell et al 2002;Otaduy et al 2007;Sifakis et al 2007;Martin et al 2008;Wicke et al 2010;Narain et al 2012] and basis function refinement [Grinspun et al 2002;Kaufmann et al 2009] have been used to speed up simulations. Some methods simulate complex geometry by embedding it in coarse simulation meshes [Nesme et al 2009;Kharevych et al 2009].…”

Section: Related Workmentioning

confidence: 99%

Simulating liquids and solid-liquid interactions with lagrangian meshes

et al. 2013

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This paper describes a Lagrangian finite element method that simulates the behavior of liquids and solids in a unified framework. Local mesh improvement operations maintain a high-quality tetrahedral discretization even as the mesh is advected by fluid flow. We conserve volume and momentum, locally and globally, by assigning each element an independent rest volume and adjusting it to correct for deviations during remeshing and collisions. Incompressibility is enforced with per-node pressure values, and extra degrees of freedom are selectively inserted to prevent pressure locking. Topological changes in the domain are explicitly treated with local mesh splitting and merging. Our method models surface tension with an implicit formulation based on surface energies computed on the boundary of the volume mesh.With this method we can model elastic, plastic, and liquid materials in a single mesh, with no need for explicit coupling. We also model heat diffusion and thermoelastic effects, which allow us to simulate phase changes. We demonstrate these capabilities in several fluid simulations at scales from millimeters to meters, including simulations of melting caused by external or thermoelastic heating.

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Section: Related Workmentioning

confidence: 99%

Simulating liquids and solid-liquid interactions with lagrangian meshes

et al. 2013

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“…[MAY ]), researchers have proposed various methods to handle two-way coupling between rigid bodies and deformable bodies [Jansson and Vergeest 2003;Sifakis et al 2007;Shinar et al 2008;Otaduy et al 2009;Miguel and Otaduy 2011]. Otaduy et.…”

Section: Related Workmentioning

confidence: 99%

Coupling cloth and rigid bodies for dexterous manipulation

Bai

Liu

2014

Proceedings of the Seventh International Conference on Motion in Games

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This paper introduces a new simulation technique to enable detailed dexterous manipulation of cloth. Without reimplementation or substantial modification, existing cloth simulators can only be used to approximate limited interaction between cloth and rigid bodies due to the incorrect computation of contact forces. For example, a simple scenario of two fingers pinching a piece of cloth often results in the cloth slipping out of the hand. Our technique provides a simple solution to cloth-rigid coupling using existing cloth and rigid body simulators as-is. We develop a light-weight interface so that the rigid body and cloth simulators communicate on a demand-driven manner to achieve two main goals: allow the rigid bodies to impart friction forces to the cloth and avoid unsolvable collision situations between the rigid bodies and the cloth. We demonstrate a set of basic manipulation skills including gripping, pinching, and pressing, that are frequently seen in daily activities such as dressing and folding clothes.

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“…An equal and opposite spring force is applied to the particle and the virtual node, and the virtual node distributes its forces barycentrically to the particles of the edge. As discussed in [26], the inverse mass and velocity of this virtual node are defined as…”

Section: Altitude Springsmentioning

confidence: 99%

“…It is feasible that these ideas could be extended to other bending models, such as [8], [29], [30]. Moreover, we imagine one could extend these energy conservation techniques to other models based on mass-spring systems, such as the hard and soft constraints in [26] (see also [31]). …”

Section: Bending Springsmentioning

confidence: 99%

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Energy Conservation for the Simulation of Deformable Bodies

Sheth

Fedkiw

2013

IEEE Trans. Visual. Comput. Graphics

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Abstract-We propose a novel technique that allows one to conserve energy using the time integration scheme of one's choice. Traditionally, the time integration methods that deal with energy conservation, such as symplectic, geometric, and variational integrators, have aimed to include damping in a manner independent of the size of the time step, stating that this gives more control over the look and feel of the simulation. Generally speaking, damping adds to the overall aesthetics and appeal of a numerical simulation, especially since it damps out the high frequency oscillations that occur on the level of the discretization mesh. We propose an alternative technique that allows one to use damping as a material parameter to obtain the desired look and feel of a numerical simulation, while still exactly conserving the total energy -in stark contrast to previous methods in which adding damping effects necessarily removes energy from the mesh. This allows, for example, a deformable bouncing ball with aesthetically pleasing damping (and even undergoing collision) to collide with the ground and return to its original height exactly conserving energy, as shown in Figure 2. Furthermore, since our method works with any time integration scheme, the user can choose their favorite time integration method with regards to aesthetics and simply apply our method as a post-process to conserve all or as much of the energy as desired.

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FEM simulation of 3D deformable solids

Cited by 226 publications

References 45 publications

Simulating liquids and solid-liquid interactions with lagrangian meshes

Simulating liquids and solid-liquid interactions with lagrangian meshes

Coupling cloth and rigid bodies for dexterous manipulation

Energy Conservation for the Simulation of Deformable Bodies

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