Mechanics of Solids
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Indentation of a smooth axisymmetric punch into a transversely isotropic layer
Mechanics of Solids - Tập 44 - Trang 737-743 - 2009
We consider an axisymmetric contact problem for a transversely isotropic layer on a rigid base. The problem is reduced to a Fredholm integro-differential equation of the first kind for the contact pressure under the punch. The integral equation is solved by the collocation method [1]. Some numerical results are presented.
Stress-strain state of an anisotropic plate with curved cracks and thin rigid inclusions
Mechanics of Solids - Tập 42 - Trang 223-230 - 2007
We solve the bending problem for an anisotropic plate with flaws like smooth curved nonoverlapping through cracks and rigid inclusions. The problem is solved by the method of Lekhnitskii complex potentials specified as Cauchy type integrals over the flaw contours with an unknown integrand density function. We use the Sokhotskii—Plemelj formulas to reduce the boundary-value problem to a system of s......
A study of elasticity and plasticity equations under arbitrary displacements and strains
Mechanics of Solids - Tập 46 - Trang 213-224 - 2011
Equations of geometrically nonlinear theory of elasticity with finite displacements and strains are analyzed. The equations are composed using three versions of physical relations and applied to solve the problem of tension-compression of a straight bar. It is shown that the use of the classical relations between the components of the stress tensor and the Cauchy-Green strain tensor in the problem......
Erratum to: “On the Existence of Stress Concentrations in Loaded Bodies Made of Polycrystalline Materials”
Mechanics of Solids - Tập 44 - Trang 967-967 - 2010
The stress state of a plate subjected to a piecewise homogeneous load
Mechanics of Solids - Tập 42 - Trang 619-629 - 2007
We consider the stress-strain state of a plate having a doubly connected domain S bounded from the outside by a circle of radius R and from the inside by an ellipse with two rectilinear cuts. The cuts lie symmetrically on the x-axis. The plate is subjected to various forces: the hole contour (the ellipse) is under the action of uniformly distributed forces of intensity q, and the cut shores are fr......
Resonance phenomena in surface wave propagation in elastic bodies coated with nematic elastomers
Mechanics of Solids - Tập 48 - Trang 659-672 - 2014
The wave properties of promising composites containing thin-film coatings made of nontraditional materials—nematic elastomers—are considered. Nematic materials are characterized by strong anisotropy of their properties and additional degrees of freedom due to possible rotations of molecules and chains with respect to the main direction of orientation, i.e., the so-called “director.” A phenomenolog......
Analysis of the problem on a plastic layer flow between rigid plates approaching each other
Mechanics of Solids - - 2011
Prediction and Correction of the Orbital Motion of Spacecraft using Regular Quaternion Equations and Their Solutions in the Kustaanheimo–Stiefel Variables and Isochronic Derivatives
Mechanics of Solids - Tập 58 - Trang 2478-2503 - 2024
The regular quaternion equations of the orbital motion of a spacecraft (SC) proposed by us earlier in four-dimensional Kustaanheimo–Stiefel variables (KS variables) are considered. These equations use as a new independent variable a variable related to real time by a differential relation (Sundman time transformation) containing the distance to the center of gravity. Various new regular quaternion......
Regular Precession of a Gyrostat in Three Uniform Fields
Mechanics of Solids - Tập 57 - Trang 1873-1884 - 2023
This paper describes all possible cases of regular precession in the motion of a rigid body and gyrostat around a fixed point under the action of three uniform fields. A generalization of the known Yehia conditions is obtained when the precession and proper rotation velocities are equal to each other. A new case of regular precession is found for which the precession velocity is twice the proper r......
General theory of thin plates on the basis of nonsymmetric theory of elasticity
Mechanics of Solids - Tập 47 - Trang 119-136 - 2012
The paper uses the asymptotically justified hypothesis method to construct three different general refined theories of micropolar thin elastic plates, depending on the values of physical dimensionless material parameters, involving: (i) independent displacement and rotation fields, (ii) constrained rotation, and (iii) low shear stiffness. All angular shear deformations are taken into account.
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