Zobrazeno 1 - 10 of 216 pro vyhledávání: '"Karan S. Surana"'
1
Akademický článek
k-Version of Finite Element Method for BVPs and IVPs
Autor: Karan S. Surana, Celso H. Carranza, Sri Sai Charan Mathi
Publikováno v: Mathematics, Vol 9, Iss 12, p 1333 (2021)
The paper presents k-version of the finite element method for boundary value problems (BVPs) and initial value problems (IVPs) in which global differentiability of approximations is always the result of the union of local approximations. The higher o
Externí odkaz: https://doaj.org/article/e4473f48e2d64e23800e4c2330af27d3
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2
Akademický článek
Ordered Rate Constitutive Theories for Non-Classical Thermofluids Based on Convected Time Derivatives of the Strain and Higher Order Rotation Rate Tensors Using Entropy Inequality
Autor: Karan S. Surana, Stephen W. Long
Publikováno v: Entropy, Vol 22, Iss 4, p 443 (2020)
This paper considers non-classical continuum theory for thermoviscous fluids without memory incorporating internal rotation rates resulting from the antisymmetric part of the velocity gradient tensor to derive ordered rate constitutive theories for t
Externí odkaz: https://doaj.org/article/dd57e4f2ffd24bb7800e821c6a549ae8
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6
Thermodynamically consistent thermoelastic plate and shell formulations for small deformation and small strain using non-classical continuum mechanics incorporating internal rotations
Autor: Karan S. Surana, S. S. C. Mathi
Publikováno v: Annals of Solid and Structural Mechanics. 12:33-57
The work presented in a recent paper by the authors [35] for a thermodynamically consistent and kinematic assumption free plate and shell formulation for small deformation and small strain based on the conservation and balance laws of classical conti
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b543a29b6d1e56c0ed05a23030f2c885
https://doi.org/10.1007/s12356-020-00063-7
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7
Dynamic behavior of thermoelastic solid continua using mathematical model derived based on non-classical continuum mechanics with internal rotations
Autor: Karan S. Surana, C. H. Carranza
Publikováno v: Meccanica. 56:1345-1375
This paper considers dynamic behavior of non-classical thermoelastic solid continua. The mathematical model consists of the conservation and balance laws of non-classical continuum mechanics that incorporates additional physics of internal rotations
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::86da1b2eb790e0b1a62948e1e1952e71
https://doi.org/10.1007/s11012-020-01221-2
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8
A thermodynamically consistent formulation for bending of thermoviscoelastic beams for small deformation, small strain based on classical continuum mechanics
Autor: Karan S. Surana, C. H. Carranza, D. Mysore
Publikováno v: Mechanics of Advanced Materials and Structures. 27:1120-1140
The work presented in this paper extends the kinematic assumption free and thermodynamically consistent formulation for bending of thermoelastic beams presented by Surana et al. for bending of ther...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5833a1d2b921c5079e6c1d7a2ea8e728
https://doi.org/10.1080/15376494.2020.1725987
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9
Existence of rotational waves in non-classical thermoelastic solid continua incorporating internal rotations
Autor: Karan S. Surana, J. K. Kendall
Publikováno v: Continuum Mechanics and Thermodynamics. 32:1659-1683
In this work, we demonstrate the existence of rotational waves in deforming thermoelastic non-classical solid continua in which the conservation and balance laws consider internal rotations due to the deformation gradient tensor (Jacobian of deformat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d7e59d150aba59397923fbae53b4336d
https://doi.org/10.1007/s00161-020-00872-6
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10
Consistency and Validity of the Mathematical Models and the Solution Methods for BVPs and IVPs Based on Energy Methods and Principle of Virtual Work for Homogeneous Isotropic and Non-Homogeneous Non-Isotropic Solid Continua
Autor: Emilio N. Alverio, Karan S. Surana
Publikováno v: Applied Mathematics. 11:546-578
Energy methods and the principle of virtual work are commonly used for obtaining solutions of boundary value problems (BVPs) and initial value problems (IVPs) associated with homogeneous, isotropic and non-homogeneous, non-isotropic matter without us
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3fd4ef3b4bb352439e81ab5d42fc13fc
https://doi.org/10.4236/am.2020.117039
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