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Showing 3 results for Subject: Solid Mechanics

Amir Reza Askari,
Volume 1, Issue 1 (4-2019)

The objective of the present paper is to investigate the size-dependent response of a fully clamped rectangular micro-plate under random base excitation. The size-dependent Kirchhoff's plate model based on the modified couple stress theory is utilized in the theoretical formulation. The equations of motion which account for the packaging effect and axial residual stresses are derived using Hamilton's principle. To find the spectral density and mean square value of the micro-plate deflection, the standard modal summation method is employed where the micro-plate mode-shapes are extracted using the extended Kantorovich method. A convergence study is conducted to find the number of modes which must be included in the response. It is found that using the first six symmetric mode-shapes for the present micro-plate leads to very accurate results, while single-mode solution gives the mean square value of the response with a maximum error of 10%. Furthermore, the results reveal that the size effect on the mean square value of the mid-point deflection is usually negligible when the ratio of the plate thickness to its material length scale parameter becomes larger than 15.
Yadolah Alinia, Saeed Adib,
Volume 1, Issue 1 (4-2019)

In this paper, the contact problem between a dissimilar wedge and an elastic half-plane is studied. The investigated problem considers the convective effect which resembles a non-Hertzian contact problem. Unlike the previous studies, which focused to find the solutions of the singular integral equations, here, the contact problem is formulated based on the Muskhelishvili complex potential method for the two-dimensional elasticity. The problem formulation is converted into a Riemann-Hilbert problem. Finally, we derive a closed-form solution for the Riemann-Hilbert problem in terms of the Muskhelishvili complex potential. According to the results, the convective effect increases the contact half-length by factor of 35% for the case of maximum material dissimilarity. Moreover, the complex potential for the similar materials condition is extracted in accordance with the previous studies.
Mohammad Reza Tabeshpour, Mohammad Hadi Erfani, Hassan Sayyadi,
Volume 1, Issue 1 (4-2019)

The ultimate capacity of offshore structures including jacket type offshore platforms is used to achieve structural performance levels and determine their ductility. Accurate estimation of this parameter is of great importance. Formation of fatigue cracks at the joints, corrosion of members, environmental loads and damages caused by accidental dynamic loads such as impacts of vessels and floating bodies will result in change of the ultimate capacity of these structures over time of their life. These cases should be considered in calculating the ultimate capacity of the offshore platforms at any given time of their life. However, accurate modeling of the global and local buckling of compression members is important at any time of calculating the ultimate capacity. Buckling modes and deformations due to local buckling will be considered, if the compressive braces are modeled by Shell or Solid elements and the imperfections are applied. The purpose of this paper is to achieve the correct compressive behavior of compression members. ABAQUS finite element computer software is used for this purpose. The buckling envelope derives from Marshall Strut theory defines the post-buckling damaged elasticity model and the hysteretic loop response. Finally, by using this modified behavior in Frame elements, the effects of local buckling in compressive braces can be considered.

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پیشرفت ها در مکانیک جامدات و سیالات Advances in Solid and Fluid Mechanics.
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