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Measure-concept in mechanics
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In this paper, the use of generalized measures helps to bridge the gulf between the microscopic and macroscopic description of physical phenomenon, and simplify constitutive equations by prescribing a priori the order of the measure of a deformation.Abstract:
It is shown that the use of generalized measures helps (1) to bridge the gulf between the microscopic and macroscopic description of physical phenomenon; (2) to eliminate semi-empirical conditions like Tresca and von Mises and creep strain laws like those of Norton; (3) to simplify constitutive equations by prescribing a priori the order of the measure of a deformation; (4) the elimination of additional response coefficients; (5) a greater coordination between the theoretical and experimental results.read more
Citations
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Thermo elastic-plastic transition in a thin rotating disc with inclusion
Kumar Gupta,P Pankaj +1 more
TL;DR: In this paper, the elastic-plastic transition and fully plastic state have been derived for a thin rotating disc with shaft at different temperatures, and results have been discussed and depicted graphically.
Journal ArticleDOI
Creep Transition in a Thin Rotating Disc with Rigid Inclusion
S. K. Gupta,Pankaj +1 more
TL;DR: In this article, the authors obtained creep stresses and strain rates for a thin rotating disc with inclusion using Seth's transition theory and showed that the rotating disc is likely to fracture by cleavage close to the inclusion at the bore.
Journal ArticleDOI
Study on the effects of hydrodynamic pressure on the dynamic stresses in slabs of high CFRD based on the scaled boundary finite-element method
TL;DR: In this paper, a dynamic coupling method for the modeling of CFRD-reservoir systems based on an approach combining the finite element method (FEM) and the scaled boundary finite-element method (SBFEM), is developed.
Journal ArticleDOI
Creep Transition in Thick-Walled Cylinder under Internal Pressure
S. K. Gupta,R. L. Dharmani +1 more
TL;DR: In this article, the transition stresses for thick-walled cylinder under internal pressure for the three stages of creep were derived. But the assumption of the assumed stress-strain rate relations are the same as those given by Bailey, Odquist and others.
Journal ArticleDOI
Creep transition stresses in a thin rotating disc with shaft by finite deformation under steady-state temperature
TL;DR: In this paper, the rotational stresses and strain rates for a thin rotating disc with shaft at different temperature were derived, and it was observed that radial stress has higher maximum value at the internal surface of the rotating disc made of incompressible material as compared to circumferential stress and this value of radial stress further increases with the increase of angular speed.
References
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Journal ArticleDOI
Transition Theory of Elastic-Plastic Deformation, Creep and Relaxation
TL;DR: In this paper, it was shown that the non-linear transition region through which the yield occurs and the fact that creep and relaxation strains are never linear is a direct consequence of using linear strain measures.
Journal ArticleDOI
Elastic-Plastic Transition in Torsion
TL;DR: The transition theory for elastic plastic deformation, developed in recent papers, has been applied to the torsion of a circulation cylinder as discussed by the authors, and it is found that the secondary axial stresses have a longitudinal singularity on the axis of the cylinder, thus indicating that there is always a core of material, which remains elastic.
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Thermo elastic-plastic transition in a thin rotating disc with inclusion
Kumar Gupta,P Pankaj +1 more