IEEE Transactions on Neural Networks and Learning Systemsĭiscriminative features of 3-D meshes are significant to many 3-D shape analysis tasks. The variables are then interpolated from the nodes of the old element to the points in the new model.Īll necessary variables are interpolated automatically in this way so that the solution can proceed with the new mesh.Mesh Convolutional Restricted Boltzmann Machines for Unsupervised Learning of Features with Structure Preservation on 3-D Meshes (This procedure assumes that all points in the new mesh lie within the bounds of the old mesh: warning messages are issued if this is not so, and the values of the variables are set to zero.) The element (in the old mesh) in which the point lies is found, and the point's location in that element is obtained. The new mesh points include integration points in all cases and nodes in procedures that record nodal state in addition to displacements (for example, nodal temperatures in coupled temperature-displacement procedures). Next, the location of each point in the new mesh is obtained with respect to the old mesh. For integration point variables Abaqus obtains the solution variables at the nodes of the old mesh by extrapolating values from the integration points to the nodes of each element and then averaging these values over all similar elements abutting each node. For nodal solution variables, such as nodal temperature or pore pressure, the association is already made. The first step, therefore, involves associating solution variables with nodes in the old mesh. Solution mapping operates by interpolating results from nodes in the old mesh to points (either nodes or integration points) in the new mesh. In most cases it will be desirable to transfer the solution from the old mesh to the new mesh. The analysis is then continued as a new problem using the new mesh. When remeshing is required, a new mesh for the deformed object must be generated using the mesh generation capability in Abaqus or an external mesh generator. This decision can be assisted by looking at the magnitude of strains that have occurred during the phase of the analysis using a particular mesh, as discussed later. You must decide when remeshing is needed. When severe distortion occurs, it is necessary to remesh: to create a new mesh better designed to continue the analysis and to map the old-model solution onto this mesh. ![]() Severe distortion may occur in rubber elasticity problems or in plastic or viscoplastic calculations, especially when modeling manufacturing processes. When the strains become large in geometrically nonlinear analyses, the elements may become so severely distorted that they no longer provide a good discretization of the problem. Specifying the solution to be interpolated onto the new meshĪbaqus/Standard uses a Lagrangian formulation: the mesh is attached to the material and, thus, deforms with the material.Refer to About adaptivity techniques for a high-level discussion comparing this and other Abaqus adaptivity methods. Maps the solution from an old, deformed mesh to a new mesh so that the analysis can continue andĬan be used only with continuum elements. Is used when elements become so severely distorted during an analysis that they no longer provide a good discretization of the problem Mapping a solution from one mesh to another is a step in a remeshing analysis technique, where a mesh that has deformed significantly from its original configuration is replaced by a mesh of better quality and the analysis continues. Mesh-to-mesh solution mapping Mesh-to-mesh solution mapping
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