A couple stress model in non-polynomial framework to examine structural responses of laminated composite micro-plates: An analytical solution

Joshan, Yadwinder Singh; Sharma, L. K.; Grover, Neeraj; Godara, R. K.

doi:10.1016/j.compstruct.2020.113533

Cited by 8 publications

(3 citation statements)

References 81 publications

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“…Soni et al [121] extended this framework to functionally graded, carbon-nanotube-reinforced plates, exploring static analysis. Joshan et al [122] introduced a coupled stress model within a non-polynomial framework to study the structural responses of laminated composite micro-plates, providing analytical solutions. Dhuria et al [123] examined the influence of porosity distribution on the static and buckling responses of porous, functionally graded plates, considering material heterogeneity.…”

Section: Thickness Functionsmentioning

confidence: 99%

Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review

Odeh,

Al-Shugaa,

Al-Gahtani

et al. 2024

Buildings

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Laminated composite plates have become a crucial point of interest in the industry, with the need to ensure sustained and stable structures throughout the plates’ lifespan. This study conducted a bibliometric analysis using the Scopus database, gathering 8221 documents for further scrutiny based on the linked meta-data. Utilizing the VOS viewer software version 1.6.19, maps were generated from scientific publishing network data, illustrating connections between researchers’ nations and keywords. The investigation into co-occurring phrases associated with laminated composite plates employed author keywords. The results reveal a significant and close relationship among top authors, suggesting a strong research connection, with the United States and China leading the field. Top cited documents and keyword correlations are examined to gauge current research interests. These critical reviews serve as essential resources for scholars and practitioners in the field. Additionally, the review discusses the advancements in and practical applications of different theories for laminated composite plates, with a focus on a bibliometric study using the Scopus database. This paper categorizes models within the context of an equivalent single-layer laminate, analyzing variations in established theories and methodologies for modeling laminated composite plates to offer a nuanced understanding of approaches and assessments in this field.

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Section: Thickness Functionsmentioning

confidence: 99%

Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review

Odeh,

Al-Shugaa,

Al-Gahtani

et al. 2024

Buildings

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“…Also, the amplitude is highly affected by the shock pulse length factor, although decreasing the a/h, which is caused by reducing the b value, leads to an increase in the frequency and amplitude. In a further study, Joshan et al [301] employed the NPSDTs to perform an analytical investigation to explore the FV and the static responses of composite MSP. At the same time, the LSEs have been deliberated through implementing the CST, and various shear shape functions were considered to generate the TS deformation.…”

Section: Analytical Solution Without Considering the Sdementioning

confidence: 99%

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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“…[20][21][22][23][24][25][26][27][28][29][30][31] NPSDTs do not require shear correction factor and satisfy transverse shear free conditions at the top and bottom surface of the plate. 32 However, these theories are generally applied for modelling and analysis of plate structures of composites, sandwich and functionally graded materials. The modelling approaches of multilayered composite plates and shells considering their complicated effects are assessed by Giunta et al 33 Mirsky 34 evaluated the vibration response of thick laminated cylindrical shell using classical shell theory.…”

Section: Introductionmentioning

confidence: 99%

A non-polynomial axiomatic framework for modelling and bending analysis of doubly curved spherical and cylindrical shells: An analytical solution

Sharma

Grover

Purohit

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the present work, the doubly curved spherical and cylindrical laminated composite shells are modelled and analysed in the framework of non-polynomial axiomatic approach. The inverse hyperbolic shear deformation theory originally developed for the laminated composite plates is extended to model the deformation characteristics of laminated composite shells. The mathematical formulation is developed under the assumption of linear structural kinematics and linear-elastic-orthotropic material behaviour. The governing equations of the model are obtained using the principle of virtual work and solved in exact manner for simply supported boundary conditions following the Navier solution methodology. The bending response of thick and thin spherical and cylindrical shells subjected to different types of transverse loads such as point load, uniform load and sinusoidal load is analysed in the framework of developed methodology. The obtained results due to inverse hyperbolic shear deformation theory are compared with other shell theories and on the basis of this comparison, the validity and applicability of the inverse hyperbolic shear deformation theory for doubly curved spherical and cylindrical shells is ensured.

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A couple stress model in non-polynomial framework to examine structural responses of laminated composite micro-plates: An analytical solution

Cited by 8 publications

References 81 publications

Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review

Analysis of Laminated Composite Plates: A Comprehensive Bibliometric Review

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

A non-polynomial axiomatic framework for modelling and bending analysis of doubly curved spherical and cylindrical shells: An analytical solution

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