The Experts below are selected from a list of 159045 Experts worldwide ranked by ideXlab platform
Praveen Ailawalia - One of the best experts on this subject based on the ideXlab platform.
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Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation
International Journal of Thermophysics, 2007Co-Authors: Rajneesh Kumar, Praveen AilawaliaAbstract:The present problem is concerned with the study of the deformation of a thermoelastic micropolar solid possessing cubic symmetry under the influence of various sources acting on the plane surface. The analytic expressions of displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the Physical Domain for the Green and Nagdhi (G-N) theory of thermoelasticity by applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the Physical Domain. The numerical results are presented graphically for a particular material.
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Interactions due to mechanical/thermal sources in a micropolar thermoelastic medium possessing cubic symmetry
International Journal of Solids and Structures, 2006Co-Authors: Rajneesh Kumar, Praveen AilawaliaAbstract:Abstract The present problem is the deformation of micropolar thermoelastic solids with cubic symmetry under the influence of various sources acting on the plane surface. Analytic expressions for displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the Physical Domain for Lord–Shulman (L–S) and Green–Lindsay (G–L) theories of thermoelasticity by applying integral transforms. A numerical inversion technique has been applied to obtain the solution in the Physical Domain. The numerical results are presented graphically for a particular model.
Boniface Nkonga - One of the best experts on this subject based on the ideXlab platform.
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H1-parametrizations of complex planar Physical Domains in Isogeometric analysis
Computer Methods in Applied Mechanics and Engineering, 2017Co-Authors: Bernard Mourrain, André Galligo, Boniface NkongaAbstract:Isogeometric analysis (IGA) is a method for solving geometric partial differential equations(PDEs). Generating parameterizations of a PDE's Physical Domain is the basic and important issues within IGA framework. In this paper , we present a global H 1-parameterization method for a planar Physical Domain with complex topology.
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H1-parametrizations of complex planar Physical Domains in isogeometric analysis
Computer Methods in Applied Mechanics and Engineering, 2017Co-Authors: Bernard Mourrain, André Galligo, Boniface NkongaAbstract:Abstract Isogeometric analysis is a method for solving geometric partial differential equations (PDEs). Generating parametrizations of a PDE’s Physical Domain is a basic and important issue within isogeometric analysis framework. In this paper, we present a global H 1 -parametrization method for a complex planar Physical Domain.
Sinae Kim - One of the best experts on this subject based on the ideXlab platform.
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Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems
Computational Mechanics, 2016Co-Authors: Bongsoo Jang, Hyunju Kim, Sinae KimAbstract:The design basis functions on the reference Domain in IGA are diversified and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) function with flat-top. These reconditioned and modified basis functions are pushed forward to the Physical Domain by the original design mapping for analysis. With this method, the corresponding stiffness matrix has a small bandwidth and local refinement is simple. Moreover, we construct the PU functions in the reference Domain and then move them to a Physical Domain through a geometric mapping to be used for the generation of global basis functions on a Physical Domain. Therefore, we also have several advantages in calculating stiffness matrices and load vectors. Here we apply this method to various boundary layer problems.
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Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
2016Co-Authors: Sinae KimAbstract:The design basis functions in IGA are refined and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) functions with flat-top. These reconditioned and modified basis functions are pushed forward to the Physical Domain by the original design mapping for analysis. With this method (PU-IGA), the corresponding stiffness matrix has a smaller bandwidth, and local refinements become simpler. We apply PU-IGA to various singularly perturbed problems incorporating boundary layer enrichment functions developed by boundary layer analysis. Here, we construct the PU functions on the reference Domain and push-forward them to a Physical Domain through geometric mapping for the construction of enriched global basis functions on a Physical Domain. Therefore, we have advantages in calculating stiffness matrices and load vectors with integrals over rectangular areas. Next, we apply PU-IGA, which is enriched with singular functions that resemble singularities, to fourth order differential equations containing singularities. This direct enrichment method yields an accurate numerical solution; however, it yields large matrix condition numbers and integrals of singular functions. To alleviate these limitations, we propose a mapping method by constructing a singular mapping from the reference Domain onto the singular zone of the Physical Domain. This singular mapping transforms polynomials on the reference Domain to singular basis functions on the Physical Domain. This mapping method has the same effect as the directly enriched PU-IGA but yields small condition numbers and no singular integrals.
Rajneesh Kumar - One of the best experts on this subject based on the ideXlab platform.
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Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation
International Journal of Thermophysics, 2007Co-Authors: Rajneesh Kumar, Praveen AilawaliaAbstract:The present problem is concerned with the study of the deformation of a thermoelastic micropolar solid possessing cubic symmetry under the influence of various sources acting on the plane surface. The analytic expressions of displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the Physical Domain for the Green and Nagdhi (G-N) theory of thermoelasticity by applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the Physical Domain. The numerical results are presented graphically for a particular material.
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Interactions due to mechanical/thermal sources in a micropolar thermoelastic medium possessing cubic symmetry
International Journal of Solids and Structures, 2006Co-Authors: Rajneesh Kumar, Praveen AilawaliaAbstract:Abstract The present problem is the deformation of micropolar thermoelastic solids with cubic symmetry under the influence of various sources acting on the plane surface. Analytic expressions for displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the Physical Domain for Lord–Shulman (L–S) and Green–Lindsay (G–L) theories of thermoelasticity by applying integral transforms. A numerical inversion technique has been applied to obtain the solution in the Physical Domain. The numerical results are presented graphically for a particular model.
Bernard Mourrain - One of the best experts on this subject based on the ideXlab platform.
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H1-parametrizations of complex planar Physical Domains in Isogeometric analysis
Computer Methods in Applied Mechanics and Engineering, 2017Co-Authors: Bernard Mourrain, André Galligo, Boniface NkongaAbstract:Isogeometric analysis (IGA) is a method for solving geometric partial differential equations(PDEs). Generating parameterizations of a PDE's Physical Domain is the basic and important issues within IGA framework. In this paper , we present a global H 1-parameterization method for a planar Physical Domain with complex topology.
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H1-parametrizations of complex planar Physical Domains in isogeometric analysis
Computer Methods in Applied Mechanics and Engineering, 2017Co-Authors: Bernard Mourrain, André Galligo, Boniface NkongaAbstract:Abstract Isogeometric analysis is a method for solving geometric partial differential equations (PDEs). Generating parametrizations of a PDE’s Physical Domain is a basic and important issue within isogeometric analysis framework. In this paper, we present a global H 1 -parametrization method for a complex planar Physical Domain.
