Pii: 0020-7403(72)90080-x
نویسنده
چکیده
Sumlnary--A method is described for finding the normal displacements of the surface of a semi-infinite solid, subjected to arbitrary, transient surface heating. Analytical expressions are derived for the displacements due to instantaneous and continuous point and line heat sources and these can be integrated to produce the solutions to particular problems. The method is illustrated by application to uniform heating over a circular area and over an infinite band. Solutions are also obtained for the displacements due to point and line doublets which can be used to solve problems in which the temperature distribution at the boundary plane is defined. These results permit the reduction of problems in the non-isothermal contact of solids to equivalent isothermal problems.
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Pii: 0020-7403(74)90098-8
Summ~ry--A method is developed for representing the tangential displacements and tractions at the surface of the semi-infinite solid in terms of potential functions. In this form, a mathematical analogy is revealed between corresponding mixed boundary value problems involving tangential and normal surface displacements respectively. This analogy enables a general solution to be obtained to the ...
متن کاملPii: 0020-7403(85)90071-2
-A long circular cylinder with radius R and thickness t transmits a longitudinal eccentrically applied force to a rigid half-space. We study the influence of the eccentricity of the load and the ratio R/t on the stress state of the cylinder using the theory of thin shells in bending. The elastic displacements are presented in the form of a Fourier expansion, the coefficients of which are found ...
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