A transient thermal problem: A hollow sphere of strain-hardening material with temperature-dependent properties

1974 ◽  
Vol 16 (6) ◽  
pp. 359-371 ◽  
Author(s):  
D.Ghosh Dastidar ◽  
P. Ghosh
2015 ◽  
Vol 1096 ◽  
pp. 297-301
Author(s):  
Gui Ming Rong ◽  
Hiroyuki Kisu

A formulation using the deviatoric stress and the continuity equation is extended to the analysis of the dynamic response of functionally graded materials (FGMs) subjected to a thermal shock by smoothed particle hydrodynamics (SPH), in which temperature dependent properties of materials are considered. Several dynamic thermal stress problems are analyzed to investigate the fluctuation of thermal stress at the initial stage under three types of thermal conditions, with the addition of two kinds of mechanical boundary conditions.


2017 ◽  
Vol 24 (3) ◽  
pp. 675-682 ◽  
Author(s):  
Sobhan Mosayebidorcheh ◽  
Mohammad Rahimi-Gorji ◽  
D. D. Ganji ◽  
Taha Moayebidorcheh ◽  
O. Pourmehran ◽  
...  

Author(s):  
Shahriar Jahanian

Abstract In this paper an analysis based on incremental theory of plasticity is formulated to predict the thermoelastoplastic stresses in a hollow sphere. The properties of the material are assumed to be temperature dependent, and the material was characterized by linear strain hardening. Mendeson’s method of successive elastic solution is presented for the analysis. The analysis shows that the stresses are not monotonic function of radius or temperature, they strongly depend on history of temperature distribution. In this analysis the problem is treated in a uncoupled, and quasi-static sense. The plastic stress and strain distribution on loading and the residual stress distribution on unloading is presented. The results are compared with the results of other investigators who used a different theory and a reasonable agreement is observed.


Author(s):  
Shahriar Jahanian

Abstract There are many practical instances of structural behaviors where the incremental increase of deformation occurs under cyclic loading, such as ratcheting in nuclear fuel element cans, incremental growth of pressure vessels or turbine cases, etc. This increase of deformation may lead to the failure of structure. For an incremental collapse to occur, it is necessary for different parts of the structure to yield at different stages of loading and unloading cycle. When the thermal loading is present, the properties of the material are temperature dependent. Accordingly the yielding occur at the earlier stage. The situation may get worse when the thermal loading is coupled with the mechanical one. This paper presents a quasi-static, uncoupled thermo-elastoplastic analysis based on incremental theory of plasticity. The behavior of a solid cylinder subjected to torsion and transient thermal loading for one cycle is investigated. The influence upon behavior of nonlinear-strain hardening in the material is investigated.


1961 ◽  
Vol 28 (2) ◽  
pp. 193-207 ◽  
Author(s):  
Rokuro Muki ◽  
Eli Sternberg

This paper deals with the quasi-static analysis of transient thermal stresses in the linear theory of viscoelastic solids with temperature-dependent properties. The underlying constitutive law rests on the temperature-time equivalence hypothesis. Following an exposition of the theoretical framework exact solutions to two specific problems are deduced: The first concerns the thermal stresses in a slab of infinite extent, generated by a temperature field that depends arbitrarily on the thickness co-ordinate and time; the second application concerns the stresses produced in a sphere by an arbitrary time-dependent radially symmetric temperature distribution. The numerical illustrations of the results obtained include a quantitative study based on actual test data for a polymethyl methacrylate.


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