Research On Design Of Material Elasticity By Interactive For Additive Manufacturing

The requirements for elastic distribution of materials are becoming stricter and stricter in engineering practice,And more and more applications require different elastic properties of the same material at different locations,Also the long cycle of traditional material preparation technology as well as the result of large uncertainty and other defects make those applications more and more difficult to meet the demand.Meanwhile,with the development of computer simulation technology and the emergence of various calculation methods,the application of computer simulation materials is becoming more and more mature,which makes it possible to simulate the inverse simulation of material elastic properties.And with the continuous breakthrough of Additive Manufacturing technology and the gradual improvement of porous material preparation,functional gradient materials are becoming easier to manufacture,so the technology of reverse material properties is of great practical significance.The application of reverse material elasticity properties in computer animation is gradually mature nowadays,but the requirements for material properties in computer animation are far from the requirements of engineering applications.This paper studies the material elastic distribution to meet the needs of customization.The main research contents and results include the following aspects:(1)An elastic distribution model of customized materials based on finite element method is proposed to realize the simulation of elastic distribution of materials.Based on the finite element method,a material elastic distribution model is established.The elastic distribution of the customized material can be modeled by interactively inputting loads and displacements on the elements or vertices of the tetrahedral mesh model.In the process of implementation,the block coordinate descent method is used to divide the modeling problem into two parts,which are divided into elastic modeling part and displacement modeling part to optimize the modeling process.The elastic modeling part is a Unconstrained extremum problem,The conjugate gradient method is applied to solve the problem,the ideal convergence speed is obtained.The displacement modeling part is transformed into a dense linear equations,which is convenient to solve.(2)An angle weighted Laplacian operator is proposed to solve the noise problem in the modeling process,and also to control the elastic transmission capability in the gravity direction during the modeling process.During the process of modeling the elastic distribution of materials,in order to make the material elastic transition without noise,and the Laplacian operator based on the tetrahedral mesh model is introduced in the modeling process.And the weighting method is improved,the cosine of the angle between the line connecting the Center of gravity of the tetrahedron and the direction of force is used as its weight.This not only improves the noise,but also controls the elastic transmission capability of the gravity direction during modeling.(3)Applying the model reduction method to accelerate the calculation.In the process of calculation,involving a large number of matrix iterative operations,using model reduction method can solve this problem.The traditional model reduction model is not applicable to the proposed method.A matrix composed of the first r quantities of the generalized eigenvectors of Laplacian matrix is proposed as the transformation matrix to achieve the model reduction,the speed of the solution is increased several times.This paper proposes a finite element based material elastic distribution modeling method,which mainly involves model construction,calculation method design,optimization calculation,etc.,which can realize material elastic distribution design.