Acta Mechanica
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Hydromagnetic stability of plane Poiseuille flow of an Oldroyd fluid
Acta Mechanica - Tập 143 - Trang 155-164 - 2000
The linear stability of plane Poiseuille flow of a conducting Oldroyd liquid in the presence of a transverse magnetic field is studied. The fourth-order Orr-Sommerfeld equation governing the stability analysis in this case is solved numerically by a spectral method.
Stresses in a pressurized cylindrical shell with two unequal diametrically opposite reinforced circular holes
Acta Mechanica - - 1970
Computation of the bounds on the elastic moduli of a fiber-reinforced composite by Monte Carlo simulations
Acta Mechanica - Tập 217 - Trang 257-267 - 2010
Bounds on the effective elastic moduli of a fiber-reinforced composite are studied. The composite is composed of infinitely long, parallel, equal-sized circular cylinders (fibers) randomly embedded in a matrix. Based on the variational principles and by employing the cylindrical inclusion solutions as trial functions, the bounds are determined through Monte Carlo simulations. Comparisons are made ......
Elasticity solutions for a transversely isotropic functionally graded annular sector plate
Acta Mechanica - Tập 228 - Trang 2603-2621 - 2017
This paper presents three-dimensional elasticity solutions for an annular sector plate made of transversely isotropic functionally graded material (FGM) subjected to concentrated forces
$$\left( X,Y,0 \right) $$
or couples
......
A finite elastic-plastic theory and invariance requirements
Acta Mechanica - Tập 17 Số 3-4 - Trang 277-290 - 1973
Torsion of compound cross-sections with imperfect interface
Acta Mechanica - Tập 152 - Trang 139-163 - 2001
The Saint-Venant torsion problem of compound sections with imperfect interfaces is studied. Two kinds of an imperfect interface are considered: an imperfect interface which models a thin interphase of low shear modulus and an interface which models a thin interphase of high shear modulus. At the former kind, the tractions are continuous but the warping displacement undergoes a discontinuity; at th......
A nonlinear hyperbolic free boundary value problem
Acta Mechanica - Tập 81 - Trang 221-226 - 1990
The present paper is concerned with the application of a non-iterative transformation method to the numerical solution of a nonlinear hyperbolic free boundary value problem. Making use of the similarity analysis approach to the hyperbolic model describing time dependent velocity impact to nonlinear inhomogeneous thin rods we recover a free boundary value problem. Since exact solutions are known on......
Elastic Gaussian wave packets in isotropic media
Acta Mechanica - Tập 71 - Trang 95-114 - 1988
The theory of Gaussian wave packet (GWP) propagation in elastic materials is developed. The GWP solutions are in the form of localized disturbances with Gaussian spatial envelopes at any instant in time. The method is explicitly time dependent, but is conceptually no more difficult than time harmonic ray theory. The equations of propagation and evolution are very similar to those of standard, elas......
Wave propagation and breaking in electrically polarizable media
Acta Mechanica - Tập 40 Số 3-4 - Trang 141-146 - 1981
High-order lubrication theory in channels and tubes with variable geometry
Acta Mechanica - Tập 233 - Trang 4063-4081 - 2022
Lubrication theory is used widely due to its simplicity and accuracy in many circumstances such as for the modeling of thin fluid films, the motion of particles near surfaces, and the flow in narrow geometries and configurations. Here, we present an extension to the classical lubrication theory to study the laminar flow of an incompressible and highly viscous simple Newtonian fluid in microfluidic......
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