The internal stability of an elastic solid

2000 ◽  
Vol 80 (12) ◽  
pp. 2827-2840 ◽  
Author(s):  
J. W. Morris Jr, C. R. K Renn
2000 ◽  
Vol 80 (12) ◽  
pp. 2827-2840 ◽  
Author(s):  
J. W. Morris ◽  
C. R. Krenn

1974 ◽  
Vol 41 (3) ◽  
pp. 647-651 ◽  
Author(s):  
Myron Levitsky ◽  
Bernard W. Shaffer

A method has been formulated for the determination of thermal stresses in materials which harden in the presence of an exothermic chemical reaction. Hardening is described by the transformation of the material from an inviscid liquid-like state into an elastic solid, where intermediate states consist of a mixture of the two, in a ratio which is determined by the degree of chemical reaction. The method is illustrated in terms of an infinite slab cast between two rigid mold surfaces. It is found that the stress component normal to the slab surfaces vanishes in the residual state, so that removal of the slab from the mold leaves the remaining residual stress unchanged. On the other hand, the residual stress component parallel to the slab surfaces does not vanish. Its distribution is described as a function of the parameters of the hardening process.


2021 ◽  
pp. 1-31
Author(s):  
Chin-Hao Huang ◽  
David C. Kang

Abstract State formation occurred in Korea and Japan 1,000 years before it did in Europe, and it occurred for reasons of emulation and learning, not bellicist competition. State formation in historical East Asia occurred under a hegemonic system in which war was relatively rare, not under a balance-of-power system with regular existential threats. Korea and Japan emerged as states between the fifth and ninth centuries CE and existed for centuries thereafter with centralized bureaucratic control defined over territory and administrative capacity to tax their populations, field large militaries, and provide extensive public goods. They created these institutions not to wage war or suppress revolt: the longevity of dynasties in these countries is evidence of both the peacefulness of their region and their internal stability. Rather, Korea and Japan developed state institutions through emulation and learning from China. The elites of both copied Chinese civilization for reasons of prestige and domestic legitimacy in the competition between the court and the nobility.


2021 ◽  
Vol 15 (1) ◽  
pp. 184-197
Author(s):  
Merfat H. Raddadi ◽  
Kh. Lotfy ◽  
A. El-Bary ◽  
N. Anwer ◽  
R. S. Tantawi

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