Nonlocal and gradient elasticity in micro/nano structures

Double-beam systems have attracted significant attention due to their unique mechanical behavior and wide range of engineering applications. This study offers an extensive review of the mechanics and applications of double-beam systems, addressing both theoretical progress and practical uses. Initially, the theoretica…

In this manuscript, we propose the notion of a strong extended s-suprametric space, a novel extension that outperforms both s-suprametric and extended suprametric spaces. It looks into the aspects of open and closed ball topologies within this structure. It also investigates the concepts of existence and uniqueness us…

Accurate representation of tool-tip dynamics is essential for predicting stability in micromachining. Frequency-domain coupling approaches amplify measurement noise due to matrix inversions and finite-difference approximations of rotational frequency response functions (FRFs). We propose Tchebychev-based modal-domain…

In this study, nonlinear vibrations of a slightly curved Timoshenko beam with nonlinear boundary conditions are investigated. The formulation is developed based on Timoshenko beam theory, incorporating shear deformation and rotary inertia effects. Geometric nonlinearity is introduced through the von Karman strain–disp…

Bu çalışmada, zamana bağlı açısal hızla dönen bir fonksiyonel dereceli ortotropik değişken kalınlıklı diskin eksenel simetri varsayımı ve düzlem gerilme koşulları altında gerilme dağılımları sayısal olarak elde edilmiştir. Etkisi az olduğu düşünülen Poisson oranı dışındaki malzeme özelliklerinin yarıçap doğrultusunda…

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This study develops a unified nonlinear framework to clarify how orthotropic Pasternak foundation effects interact with porosity patterns, lamination, and varying load distributions. A higher-order shear deformation theory (HSDT) is combined with von Kármán-type geometric nonlinearity to formulate the governing equati…

In this paper, the combined effects of elastic foundation and thermal environments on the buckling hydrostatic pressure (BHP) of multilayered nanocomposite cylindrical shells (MNCS) consisting of functionally graded (FG) nanocomposite (NC) layers are investigated. In the mathematical modeling of the problem, shear def…

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