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A method for accelerating the finite element solution of elastic deformation of object mesh model

A mesh model and elastic deformation technology, which is applied to simulate the deformation of non-uniform and nonlinear elastic objects, accelerate the finite element solution of the elastic deformation of object mesh models, and can solve problems such as inability to obtain deformation, rough simulation, and object stiffness.

Active Publication Date: 2018-12-11
ZHEJIANG UNIV
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  • Application Information

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Problems solved by technology

Crude simulations fail to get even the simplest deformations, sometimes making objects stiffer than they are in reality

Method used

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  • A method for accelerating the finite element solution of elastic deformation of object mesh model
  • A method for accelerating the finite element solution of elastic deformation of object mesh model
  • A method for accelerating the finite element solution of elastic deformation of object mesh model

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Embodiment Construction

[0077] The present invention will be further described below in conjunction with drawings and embodiments.

[0078] Such as figure 1 Shown, the embodiment implemented according to the complete method of the present invention is as follows:

[0079] 1) The coarse and fine grids after discretizing an elastic body are given (including the unit vertex column connection relationship and the vertex coordinates at the initial moment), and the material characteristics of each fine grid unit are known (generally including Poisson’s ratio and Young's modulus, which can also be Lame coefficient), restraint, force.

[0080] 2) Solve the typical displacement h on the fine grid ab . Solve the following linearized elastostatic problem with Neumann boundary conditions:

[0081]

[0082] In the formula, Indicates the divergence calculation, σ is the stress tensor, e a is the unit vector in the a-th coordinate direction, e b is the unit vector in the b-th coordinate direction, n is t...

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Abstract

The invention discloses a method for accelerating the finite element solution of the elastic deformation of an object mesh model. For a nonlinear elastic object model, given discrete is a coarse meshand a fine mesh formed by units and vertices, the displacement field of the coarse mesh is solved by a finite element method using a piecewise linear matrix function as a displacement interpolation function, and the displacement field of the fine mesh is solved by the finite element method using linear interpolation function as displacement interpolation function. The shape function of the finiteelement method corresponding to the coarse mesh is a specially designed piecewise linear matrix function, and the piecewise linear matrix function is a discontinuous function. The method is used for simulating the deformation of non-uniform and heterogeneous non-linear elastic objects, and the non-linear constitutive relation is also used for predictive simulation of heterogeneous elastic bodies on a coarse mesh to obtain acceleration of two to three orders of magnitude and make good approximation to the overall stiffness of the system.

Description

technical field [0001] The invention relates to a computer physical model and a physical simulation method, and mainly relates to a method for accelerating the finite element solution to the elastic deformation of an object grid model, and is mainly aimed at simulating the deformation of non-uniform and nonlinear elastic objects. Background technique [0002] Efficiently simulating complex deformable objects is a long-standing goal in computer animation. As the demand for more complex and larger simulations increases, how to use sophisticated numerical methods to achieve the increasing computational cost without greatly increasing the structural complexity of the simulated objects has become a technical problem. Correct motion of physical objects can only be captured when one uses a fine enough mesh to resolve small-scale non-uniformities, but can also lead to very large solution times if the geometry is very complex or has a very different stiffness matrix. For example, ve...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T17/20G06T13/20
CPCG06T13/20G06T17/20G06T2210/44
Inventor 黄劲鲍虎军马修·德斯布朗童一颖陈炯
Owner ZHEJIANG UNIV
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