On the Universal Equation of Elasticity and the Universal Equation of Thermo-elasticity for Next-generation Aircrafts and Spacecrafts
Parole chiave:
Relativistic elasticity, relativistic thermo-elasticity, universal equation of elasticity, universal equation of thermo-elasticity, next-generation aircraft, next-generation spacecraft, relative stress tensor, absolute stress tensor, stationary and movingAbstract
In the present investigation, the theories of “Relativistic Elasticity” and “Relativistic Thermo-Elasticity” are proposed for the design of the new-generation large aircraft with turbojet engines and speeds in the range of 50,000 km/h and for the new-generation spacecraft of any speed. Such theories show that there is a considerable difference between the absolute stress tensor and the stress tensor of the moving frames even in the range of speeds of 50,000 km/h. For higher speeds of the next-generation spacecraft, like c/3, c/2 or 3c/4 (c = speed of light), the difference between the two stress tensors is very much increased. Consequently, for the next-generation spacecraft with very high speeds, the relative stress tensor will be very much different than the absolute stress tensor. Furthermore, for velocities near the speed of light, the values of the relative stress tensor are much higher than the corresponding values of the absolute stress tensor. The proposed theory of “Relativistic Elasticity” is a combination between the theories of “Classical Elasticity” and “Special Relativity” or “General Relativity” and results in the “Universal Equation of Elasticity”. Also, the proposed theory of “Relativistic Thermo-Elasticity” is a combination between the theories of “Classical Thermo-Elasticity” and “Special Relativity” or “General Relativity” and results in the “Universal Equation of Thermo-Elasticity’’. On the other hand, for the structural design of the new-generation aircraft and spacecraft, the stress tensor of the airframe will be used in combination of the singular integral equations method. Such a stress tensor is reduced to the solution of a multidimensional singular integral equation and the singular integral operators method (SIOM) will be used for its numerical evaluationPubblicato
Fascicolo
Sezione
Licenza
Declaration and Copyright Transfer Form
(to be completed by authors)
I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.
· I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
· I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
· I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
· I/We also agree to the authorship of the article in the following order:
Author’s name
1. ________________
2. ________________
3. ________________
_______________
We Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal. |