1,184 research outputs found
Book review: N. Sukumar, Caste Discrimination and Exclusion in Indian Universities: A Critical Reflection
N. Sukumar, Caste Discrimination and Exclusion in Indian Universities: A Critical Reflection, Routledge, 2022, 193 pp., ₹13,939, ISBN 978-0367556891 (Hardcover)
Dutt (Sukumar) The Buddha and Five After-Centuries
Schipper Kristofer. Dutt (Sukumar) The Buddha and Five After-Centuries. In: Archives de sociologie des religions, n°12, 1961. p. 182
Maximum-entropy meshfree method for nonlinear static analysis of planar reinforced concrete structures
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Transcript - XIII NLSIR Symposium - Session 1
The first session sought to achieve a re-imagination of the constitutional understandings of substantive equality, dignity and opportunity, as informed by recent political and jurisprudential thought. The panel for this session consisted of Dr Sudhir Krishnaswamy, Prof N Sukumar and Dr Sumit Baudh, with Dr Sumit Baudh3 also acting as the moderator for the session
Transcript - XIII NLSIR Symposium - Session 1
The first session sought to achieve a re-imagination of the constitutional understandings of substantive equality, dignity and opportunity, as informed by recent political and jurisprudential thought. The panel for this session consisted of Dr Sudhir Krishnaswamy, Prof N Sukumar and Dr Sumit Baudh, with Dr Sumit Baudh3 also acting as the moderator for the session
Sukumar, R. — The Asian Elephant : Ecology and Management. Cambridge University Press, Cambridge, 1989,
Asmodé Jean-François. Sukumar, R. — The Asian Elephant : Ecology and Management. Cambridge University Press, Cambridge, 1989,. In: Revue d'Écologie (La Terre et La Vie), tome 46, n°2, 1991. pp. 188-189
Problems and perspectives in implementing meshfree methods for nonlinear analysis of RC structures using OpenSees
Extended Virtual Element Method for the Membrane Problem with Field Singularities and Discontinuities
Among the many stabilized Galerkin finite element formulations proposed in the literature, the recently proposed Virtual Element Method (VEM) [1] stands out for its capability of dealing with very general polygonal or polytopal meshes, in which the basis functions are are not known explicitly within the problem domain (hence, virtual). The bilinear form on each element is decomposed into two parts, by means of suitably defined elliptic projectors: a consistent term, exactly reproducing a the first-order polynomial space, and an additional term ensuring stability. In this contribution, we propose a first-order extended virtual element method (X-VEM) to treat singularities and crack discontinuities that arise in the mambrane problem. The approach herein draws from the development of the extended finite element method for fracture problems [2], in which the discrete space is augmented by means of additional basis functions that capture the main features of the exact solution. A similar approach is pursued in the proposed X-VEM formulation with a few notable extensions. To suitably represent singularities and discontinuities in the discrete space, we extend the standard virtual element space with an additional contribution consisting of the product of virtual nodal basis functions with so-called enrichment functions. For discontinuities, the enrichment function is the generalized Heaviside function across the crack and for singularities it is a weakly singular function that satisfies the Laplace equation. For the membrane problem with a discontinuity, we project the virtual basis functions onto affine polynomials over the two partitions of elements cut by the discontinuity. For the membrane problem with a singularity, we devise an extended projector that maps functions lying in the extended virtual element space onto affine polynomials and the enrichment function. Numerical experiments are performed on quadrilateral and polygonal meshes for the problem of an L-shaped domain with a corner singularity and the problem of a cracked membrane under mode III loading. Obtained results show the accuracy and demonstrate optimal rates of convergence in both L2 norm and energy of the proposed method
Extended virtual element method for elliptic problems with singularities and discontinuities in mechanics
Drawing inspiration from the extended finite element method (X-FEM), we propose for two-dimensional elastic fracture problems, an extended virtual element method (X-VEM). In the X-VEM, we extend the standard virtual element space with the product of vector-valued virtual nodal shape functions and suitable enrichment fields, which reproduce the singularities of the exact solution. We define an extended projection operator that maps functions in the extended virtual element space onto a set spanned by the space of linear polynomials augmented with the enrichment fields. Several numerical examples are adopted to illustrate the convergence and accuracy of the proposed method, for both quadrilateral and general polygonal meshes
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