Numerical investigation of thermoviscoelastoplastic axially symmetric stress-strain state of flexible layered shells

S. P. Timoshenko Institute of Mechanics, Academy of Sciences of the Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 8, pp. 80–87, August, 1994.     

Calculation of contact temperatures generated by the rotation of a shaft in a bearing

The problem of the distribution of contact stresses resulting from the interaction between a journal and its bearing was considered in [1]. This paper deals with the problem of temperature distribution in the area of contact of a rotating cylindrical shaft and a bearing. The process is assumed to be stabilized.The problem reduces to an integral equation with respect to the contact temperature at the shaft surface.An approximate method is proposed for solving the integral equation which had permitted the derivation of a simple approximate formula for the contact temperature within any range of variation of the parameters of this problem.     

Thermoelastoplastic State of Flexible Laminated Shells under Axisymmetric Loading Along Various Plane Paths

The paper presents a technique for thermoelastoplastic stress–strain analysis of flexible laminated shells of revolution under complex axisymmetric loading. The constitutive deformation equations are used to describe loading along arbitrary plane paths. The problem is solved by the method of successive approximations. A numerical example is given     

Describing the elastoplastic deformation of layered shells under axisymmetric loading with allowance for the third invariant of the stress deviator

A method for numerical analysis of the elastoplastic stress–strain state of thin layered shells of revolution under axisymmetric loading is proposed. Constitutive equations describing the elastoplastic deformation of isotropic materials with allowance for the stress mode are used. Numerical results are presented     

On the problem of slow seismic waves

The use of vector eigenfunctions in the block method permits one one to simplify the construction of solutions of some boundary value problems and decrease the order of the systems of pseudodifferential equations. Because of this possibility, one can reveal some general properties of the stress-strain state of bounded deformable bodies. This result makes us closer to the explanation of certain behavior of block structures, including lithosphere plates, under seismic actions and allows one to study phenomena of the existence of slow seismic waves propagating in the Earth’s crust along the so-called “seismic traces.”     

Block Elements in Contact Problems with a Variable Friction Coefficient

Contact problems on the surface interaction of rigid stamps with a deformed layered medium are considered provided that the variable friction coefficients arise in the contact zone as a function of the coordinate under the horizontal motion of stamps. The cause of the variable friction coefficients arising may be surface phenomena induced by a complex rheology of the deformed-medium surface, the chemical reactions proceeding, or a change in the properties of the contact surface of the stamps, for example, as a result of the presence of separate particles of the wear contact surface of the stamp and the base.     

Application of the Block Element Method to the Problem of Predicting the Preparation of a Tsunami

Doklady Physics - A model of preparation of an initial ocean earthquake is created for vertical impacts on the ocean layer and lithospheric plates, and the conditions of tsunami generation are found.