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pro vyhledávání: '"Jyrki Piila"'
Autor:
Jyrki Piila, Juhani Pitkäranta
Publikováno v:
Mathematical Methods in the Applied Sciences. 25:855-874
We study the regularity of the solution to a two-dimensional linear hyperbolic system that arises in shell membrane theory. We focus on the behaviour of the solution at a corner where none of the characteristic lines intersect the domain. In this cas
Autor:
JYRKI PIILA
Publikováno v:
Mathematical Models and Methods in Applied Sciences. :169-194
We study the membrane-dominated deformation state of a thin shell, the midsurface of which is located on a hyperbolic surface of revolution whose boundary is a curvilinear polygon. The shell is loaded by a surface tractions on both faces, and clamped
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 128:81-121
We demonstrate some of the basic mathematical characteristics of shell deformation states and shell models from the point of view of finite element approximation. As benchmark cases, we analyze in detail three simple cylindrical shell problems. These
Autor:
Jyrki Piila, Juhani Pitkäranta
Publikováno v:
SIAM Journal on Mathematical Analysis. 26:820-849
Four different linear models describing the elastic deformation of a thin cylindrical shell are analyzed under a given smooth normal pressure distribution. Either a bending-dominated deformation state or a “soft” membrane-dominated deformation st
Autor:
Jyrki Piila
Publikováno v:
Mathematical Models and Methods in Applied Sciences. :147-177
We study the membrane-dominated deformation state of a thin shell, the mid-surface of which is located on a surface of revolution with positive principal radii of curvature. The lateral shape of the shell is assumed to be that of a curvilinear polygo
Autor:
Jyrki Piila, Juhani Pitkäranta
Publikováno v:
Mathematical Models and Methods in Applied Sciences. :417-442
We study the membrane-dominated deformation state of a cylindrical or conical shell, the lateral shape of which is that of a curved polygon. The shell is assumed to be loaded by a smoothly varying surface traction distribution and rigidly supported (
Autor:
Jyrki Piila, Juhani Pitkäranta
Publikováno v:
SIAM Journal on Mathematical Analysis. 24:1-22
Three different linear models describing the elastic deformation of a thin cylindrical shell are analyzed under a given smooth normal pressure distribution. A model problem with membrane-dominated ...
On the Integral Equation $f(x)-(c/L(x))\int^{L(x)}_0f(y)\,dy=g(x)$ where $L(x)=\min\{ax,1\}, a\gt 1$
Autor:
Jyrki Piila, Juhani Pitkäranta
Publikováno v:
J. Integral Equations Appl. 8, no. 3 (1996), 363-378