Temat: linear theory - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the deformation of porous spherical bodies under radial surface traction
Autorzy:: De Cicco, Simona
Powiązania:: https://bibliotekanauki.pl/articles/2200889.pdf
Data publikacji:: 2023
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: linear elasticity
materials with voids
equilibrium theory
spherical solids
Opis:: The paper deals with the linear theory of elastic materials with voids based on the concept of volume fraction. In this model, the interstitial pores are vacuous and can contract or stretch. The change in the volume fraction is measured by a scalar function, so that independent kinematical variables are four: the components of displacements and the volume fraction function. The equilibrium problem of elastic spherical bodies under radial surface traction is solved. The solution is given in closed form and applied to study three special cases. Explicit formulas of the displacement, stress distribution and volume fraction function are given.
Źródło:: Journal of Theoretical and Applied Mechanics; 2023, 61, 2; 305--316
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimal design of cylindrical shells
Autorzy:: Nestler, Peter
Schmidt, Werner
Powiązania:: https://bibliotekanauki.pl/articles/729263.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: linear elasticity
shell theory
cylindrical tube
optimal control
shape optimization
Opis:: The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the transient (time dependent) case. P. Nestler derives the model-equations from the Mindlin and Reissner hypotheses. Then, necessary optimality conditions for the optimal control problem are given. Numerical solutions are obtained by FEM, numerical examples are presented.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 253-267
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja