Implementation of Different Types of Meshfree Technique in Computational Solid Mechanics: A Comprehensive Review Across Nano, Micro, and Macro Scales

Al Mahmoud, Zummurd; Safaei, Babak; Sahmani, Saeid; Asmael, Mohammed; Shahzad, Muhammad Atif; Zeeshan, Qasim; Qin, Zhaoye

doi:10.1007/s11831-023-09999-6

Cited by 3 publications

(2 citation statements)

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“…Besides, a variety of NC structures reinforced with nano FGM and CNT which have been analyzed through various approaches were reviewed by Garg [41]. Al Mahmoud et al [42] presented a comprehensive review highlighting the applications of various meshfree (MF) methodologies in static and dynamic analysis for various structures in NMS as well as macroscale.…”

Section: Linear and Nonlinear Definition And Theoriesmentioning

confidence: 99%

“…41 The enhancement of porosity coefficient on the first three values of frequency of the FGPPs with type 2 of GPL dispersal & porosity type 1 at Ω GPL = 0.6%, β = 45° [359] Fig. 42 The geometrical schematic of a CPs; a coupled to the fluid, b plate mad of HCL & c plate made of VSCL [360] significant effect on changing the mode shapes. Likewise, Duc and Minh [363] investigated the FV of FG-CNTRC plates exposed to cracks using the PFT combined with Shi's TSDT.…”

Section: Tablementioning

confidence: 99%

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Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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Recently, the mechanical performance of various mechanical, electrical, and civil structures, including static and dynamic analysis, has been widely studied. Due to the neuroma's advanced technology in various engineering fields and applications, developing small-size structures has become highly demanded for several structural geometries. One of the most important is the nano/micro-plate structure. However, the essential nature of highly lightweight material with extraordinary mechanical, electrical, physical, and material characterizations makes researchers more interested in developing composite/laminated-composite-plate structures. To comprehend the dynamical behavior, precisely the linear/nonlinear-free vibrational responses, and to represent the enhancement of several parameters such as nonlocal, geometry, boundary condition parameters, etc., on the free vibrational performance at nano/micro scale size, it is revealed that to employ all various parameters into various mathematical equations and to solve the defined governing equations by analytical, numerical, high order, and mixed solutions. Thus, the presented literature review is considered the first work focused on investigating the linear/nonlinear free vibrational behavior of plates on a small scale and the impact of various parameters on both dimensional/dimensionless natural/fundamental frequency and Eigen-value. The literature is classified based on solution type and with/without considering the size dependency effect. As a key finding, most research in the literature implemented analytical or numerical solutions. The drawback of classical plate theory can be overcome by utilizing and developing the elasticity theories. The nonlocality, weight fraction of porosity, or the reinforcements, and its distribution type of elastic foundation significantly influence the frequencies.

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Section: Linear and Nonlinear Definition And Theoriesmentioning

confidence: 99%