Anisotropic solid-like shells modeled with NURBS-based isogeometric approach: Vibration, buckling, and divergence analyses

Eringen’s nonlocal and modified couple stress theories applied to vibrating rotating nanobeams with temperature effects

“…Moreover, the application of computational methods to obtain the numerical results is important and has attracted many researchers. Some of the important, practical and novel computational methods employed in analysis of small-scale structures include the finite element method [24], the boundary element method [25], the differential quadrature method [26] and isogeometric analysis [27,28].…”

Probing the Stochastic Dynamics of Coronaviruses: Machine Learning Assisted Deep Computational Insights with Exploitable Dimensions

“…In this context it may be noted that analysis of shell structures has been extensively reported in the literature of structural mechanics. [41][42][43][44][45] For validation, first we have modeled two different spherical breast cells (normal and cancerous) with exactly same geometric dimensions and material properties as the reference article following the current finite element approach and compared the results of computed natural frequencies with the numerical values reported in literature. [33] A good agreement between the results (refer to Table S2, Supporting Information) corroborates the validity of our modeling approach.…”

High‐fidelity tensor‐decomposition based matrix formation for isogeometric buckling analysis of laminated shells with solid‐shell formulation

“…For a curved fiber-reinforced laminated shell, a local curvilinear coordinate system needs to be established to define the fiber orientation and express the local strains. 25,45,46 Figure 1 shows the relationship between the global Cartesian coordinate system and local curvilinear coordinate systems. In the curvilinear system, e 1 , e 2 , e 3 are various at different Gaussian points and they are orthogonal to each other as they are defined as follows, where notations X ,𝜉 and X ,𝜂 respectively denote the derivatives of X with respect to 𝜉 and 𝜂.…”

“…Apart from these, the approach of isogeometric analysis (IGA) introduced by Hughes et al 44 has also been frequently adopted in the analysis of laminated shells. 9,15,[45][46][47] In this article, we also adapt the IGA method to analyze laminated shells, and focus on improving the computational efficiency. Actually, a lot of work in the research community aims at addressing the efficiency issue.…”