Mathematical Physics in Italy in the XIX Century: The Theory of Elasticity

2012 ◽  
pp. 59-78
Author(s):  
Danilo Capecchi
Keyword(s):  
Mathematical Physics ◽  
Theory Of Elasticity ◽  
Xix Century

scholarly journals FOURIER VECTOR TRANSFORMATION WITH DISCONTINUOUS COEFFICIENTS IN THE THEORY OF ELASTICITY

2017 ◽  
Vol 17 (8) ◽  
pp. 50-58
Author(s):  
A.A. Malyshev ◽  
O.E. Jaremko
Keyword(s):  
Heterogeneous Media ◽  
Mathematical Physics ◽  
Discontinuous Coefficients ◽  
Theory Of Elasticity

The article deals with the description of the method of Fourier vector transformation with discontinuous coefficients. The dynamics of the theory of elasticity illustrates the technique of method in solving problems of mathematical physics of heterogeneous media.

Note on Lord Rayleigh's Reciprocal Theorems in Elastic System

1939 ◽  
Vol 43 (342) ◽  
pp. 467-468
Author(s):  
J. Morris
Keyword(s):  
Physical Science ◽  
Common Property ◽  
Elastic System ◽  
Mathematical Physics ◽  
Theory Of Elasticity ◽  
Theory And Practice ◽  
Reciprocal Relations ◽  
Potential Capacity ◽  
Elastic Systems ◽  
Vibration Problems

Reciprocal theorems are valuable devices in the attack on strength, stiffness and vibration problems in structures, often leading to elegant and simple solutions. Reciprocity is a fairly common property in various coefficients which arise in mathematical physics, as for example coefficients of mutual potential, capacity, induction, and so on. It is inevitably encountered both in theory and practice in almost any branch of physical science. So far as the stiffness of structures is concerned it seems that while Hooke is the mainspring of the theory of elasticity Rayleigh is the regulator of reciprocal relations in elastic systems.

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