On the Application of Tensor Product Solids in Heterogeneous Solid Modeling

Author(s):  
Anne Marsan ◽  
Debasish Dutta

Abstract With the development of layered manufacturing (LM) technologies, engineers are now able to build objects which are composed of multiple materials and/or have varying material properties throughout. These so called heterogeneous objects can be described by heterogeneous solid models, which contain information about the boundaries of the object, as well as material properties. In this paper we show how tensor product solids, which are the 3D extension of tensor product surfaces, can be used to model material properties within the framework of a heterogeneous solid model. We then show how a heterogeneous solid model which makes use of tensor product solids can be used in reverse engineering and process planning for LM.

Author(s):  
Vinod Kumar ◽  
Prashant Kulkarni ◽  
Debasish Dutta

Abstract A novel feature of Layered Manufacturing, an emerging manufacturing technology, is that it enables fabrication of heterogeneous objects (multi-material and functionally graded interiors). In our earlier work, we developed new modeling schemes (called heterogeneous solid models) for representing these heterogeneous objects by capturing both geometry and material information. One of the crucial steps for fabricating these heterogeneous objects in LM is adaptive slicing, a fundamental process planning task. In this paper, we describe how the heterogeneous solid models can be adaptively sliced to aid in the LM fabrication of heterogeneous objects.


2021 ◽  
Vol 2057 (1) ◽  
pp. 012095
Author(s):  
A I Kutepova ◽  
P A Polivanov ◽  
A A Sidorenko

Abstract The temperature distributions arising on the surface of the solid model are investigated. A flow with a shock wave and laminar boundary layer interaction is considered as the main flow. Calculations of the conjugate problem are performed based on RANS approach. The investigated cases correspond to homogeneous material of the solid model and the model consisting of two materials with different thermal conductivity. In this study, the model designs are found to obtain a temperature distribution suitable for thermal imaging measurements. In addition, in the calculations, the effect of forced heating of the model wall on the temperature distribution is investigated.


2002 ◽  
Vol 2 (4) ◽  
pp. 330-344 ◽  
Author(s):  
Ki-Hoon Shin ◽  
Debasish Dutta

Layered manufacturing (LM) is emerging as a new technology that enables the fabrication of three-dimensional heterogeneous objects such as multimaterials and functionally gradient materials (FGMs). The necessary steps for LM fabrication of heterogeneous objects include representation and process planning of material information inside an object. This paper introduces a new processing planning method that takes into account the processing of material information. The detailed tasks are pre-processing (discretization), orientation (build direction selection), and adaptive slicing of heterogeneous objects. In particular, this paper focuses on the discretization process that converts all of the material information inside a heterogeneous object into material features like geometric features. It is thus possible to choose an optimal build direction among various preselected ones by approximately estimating build time. This is because total build time depends on the complexity of features. This discretization process also allows adaptive slicing of heterogeneous objects to minimize surface finish and material composition error. In addition, tool path planning can be simplified into fill pattern generation. Examples are shown to illustrate the overall procedure.


Author(s):  
Ki-Hoon Shin

Finite Element Analysis (FEA) is an important step for the design of structures or components formed by heterogeneous objects such as multi-materials, Functionally Graded Materials (FGMs), etc. The main objective of the FEA-based design of heterogeneous objects is to simultaneously optimize both geometry and material distribution over the design domain (e.g., Homogenization Design Method). However, the accuracy of the FEA-based design wholly depends on the quality of the finite element models. Therefore, there exists an increasing need for generating finite element models adaptive to both geometric complexity and material distribution. This paper introduces a method for FEA-based design of heterogeneous objects. At the design stage, a heterogeneous solid model is first created by referring to the libraries of primary materials and composition functions that are already available in the field of material science. The heterogeneous solid model is then discretized into an object model onto which appropriate material properties are mapped. Discretization converts continuous material variations inside an object into stepwise variations. Next, the object model is adaptively meshed and converted into a finite element model. The meshing algorithm first creates nodes on the iso-material curves (or surfaces) of heterogeneous solid models. Triangular (or tetrahedral) meshes are then generated inside each iso-material region formed by iso-material curves (or surfaces). FEA using commercial software is finally performed to estimate stress levels. This FEA-based design cycle is repeated until a satisfactory solution is obtained. If the design objective is satisfactory, the object model is fed to the fabrication system where a process planning is performed to create instructions for LM machines. An example (FGM pressure vessel) is shown to illustrate the entire FEA-based design cycle.


2000 ◽  
Vol 1 (1) ◽  
pp. 60-71 ◽  
Author(s):  
Debasish Dutta ◽  
Fritz B. Prinz ◽  
David Rosen ◽  
Lee Weiss

This paper reviews the emerging field of layered manufacturing. This field is little over 10 years old but a significant amount of research has been conducted and results to date are quite promising. We consider three broad topics namely, design systems for heterogeneous objects, layered manufacturing processes, and process planning techniques. Several applications/examples are included in the course of the survey and limitations of current technology identified. We conclude with some possibilities for the future.


1998 ◽  
Vol 120 (4) ◽  
pp. 659-667 ◽  
Author(s):  
V. Kumar ◽  
D. Dutta

Heterogeneous objects, composed of different materials, are increasingly being used in engineering applications. Also, a new fabrication method called Layered Manufacturing (LM) has shown potential to manufacture these objects. In order to manufacture heterogeneous objects by LM, a CAD model is required that contains both geometry and material information. However, current solid modeling techniques focus on capturing the geometric information only. In this paper, we present an approach to model and represent heterogeneous objects by integrating the material information along with the geometry/topology in the solid model. We define new modeling operations for creating and manipulating heterogeneous models and to complement traditional modeling operations. We also address the issue of computer representation of these new models. Finally, the issue of fabrication of these heterogeneous objects by LM is discussed.


2009 ◽  
Vol 419-420 ◽  
pp. 333-336
Author(s):  
Jeng Nan Lee ◽  
Chih Wen Luo ◽  
Hung Shyong Chen

To obtain the flexibility of choice of cutting tool and to compensate the wear of the cutting tool, this paper presents an interference-free toolpath generating method for multi-axis machining of a cylindrical cam. The notion of the proposed method is that the cutting tool is confined within the meshing element and the motion of the cutting tool follows the meshing element so that collision problem can be avoided. Based on the envelope theory, homogeneous coordinate transformation and differential geometry, the cutter location for multi-axis NC machining using cylindrical-end mill is derived and the cutting path sequences with the minimum lead in and lead out are planned. The cutting simulations with solid model are performed to verify the proposed toolpath generation method. It is also verified through the trial cut with model material on a five-axis machine tool.


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