Temat: linear elasticity - 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

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Skocz do pozycji: 2.

Tytuł:: Consistent theories of isotropic and anisotropic plates
Spójne teorie izotropowych i anizotropowych płyt
Autorzy:: Kienzler, R.
Schneider, P.
Powiązania:: https://bibliotekanauki.pl/articles/280346.pdf
Data publikacji:: 2012
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: linear elasticity
consistent plate theories
uniform-approximation technique
pseudo-reduction technique
Opis:: In this paper, the uniform-approximation technique in combination with the pseudoreduction technique is applied in order to derive consistent theories for isotropic and anisotropic plates. The approach is used to assess and validate the plate theories already established in the literature. Further lines of research are indicated.
W pracy omówiono metodę jednorodnej aproksymacji połączonej z techniką pseudo-redukcji zastosowaną do sformułowania spójnych teorii płyt izotropowych i anizotropowych. Zaprezentowaną metodologię wykorzystano do oceny i weryfikacji teorii już istniejących i dobrze znanych z literatury. Wskazano także dalsze kierunki badań.
Źródło:: Journal of Theoretical and Applied Mechanics; 2012, 50, 3; 755-768
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Residual stress profile determination by the hole-drilling method with calibration coefficients obtained using FEM
Autorzy:: Corrêa, Fábio Junkes
Jahnert, Frederico Alves
Tomás, Jucélio Pereira
Powiązania:: https://bibliotekanauki.pl/articles/2055064.pdf
Data publikacji:: 2021
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: semi-destructive methods
linear elasticity theory
finite element method
matrices of calibration coefficients
Opis:: Residual Stresses (RS) in mechanical components can be undesirable, and their accurate identification can prevent component damage. There are many semi-destructive methods for determination of RS. The hole-drilling method offers many advantages when compared to other methods due to its practicality, applicability to different materials, and low-cost execution. According to the American Society for Testing and Materials (ASTM) E837- -13a Standard, the RS are assumed to be constant at each depth level when employing the hole-drilling method. Thus, calibration coefficients are necessary to calculate stress values at each level using the relaxed strains measured on the component surface, as incremental drillings are performed. However, the coefficients provided by the Standard were obtained using a coarsely-discretized 2D finite element model. This work aims to find new calibration coefficients based on the linear elasticity theory and using the Finite Element Method (FEM) with a refined mesh. A numerical model consisting of linear tetrahedral finite elements was constructed to simulate the resulting strains, as unitary stresses are applied at each depth level of the component inner surface. Using this method, two matrices of calibration coefficients are obtained, one related to normal stresses, and another related to shear stresses. The results show that the RS obtained using the new coefficients presented a 3.9% relative average error compared to analytical values in the four experiments conducted, while the ASTM Standard coefficients resulted in a 9.7% relative average error.
Źródło:: Journal of Theoretical and Applied Mechanics; 2021, 59, 4; 661--673
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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