Accurate computation of critical local quantities in composite laminated plates under transverse loading

Mohite, P.M.; Upadhyay, C. S.

doi:10.1016/j.compstruc.2005.11.004

Cited by 13 publications

(3 citation statements)

References 48 publications

(98 reference statements)

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“…The concept of directional enrichment has existed for some time 40,[57][58][59] but is not available as a feature in most commercial codes. In this study efficacy of this concept has been demonstrated for general curvilinear slender domains through the use of directional curved parallelopiped elements that effectively capture the axially curved domain and provide desired resolution in the cross-section.…”

Section: Use Of Extruded Element With Directional Enrichmentmentioning

confidence: 99%

Geometrically conforming and directionally enriched finite element method for three dimensional slender members

Jha

Upadhyay

2022

Numerical Meth Engineering

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Analysis of spatially curved and twisted slender members with arbitrary cross‐sections, under general loads, is challenging as it requires accurate representation of the geometry and design of effective models for solution of the boundary‐value problem of thermo‐elasticity. Classical models miss the three‐dimensional nature of the solution in the vicinity of boundaries, loading zones, re‐entrant corners, cut‐outs, and defects. The current work provides a novel framework, to efficiently and accurately solve the problem of spatially curved, twisted beam‐like structures. The novelty of the method is two‐fold. First, it uses the finite element framework to capture the geometry of curved, extruded slender members with any desired accuracy adaptively. Secondly, it incorporates directionally enriched higher order basis functions along with appropriate mesh refinement separately in the longitudinal direction and cross‐section, to efficiently capture the cross‐sectional and longitudinal characteristics of the displacement field. The efficacy of the method is established through numerical examples.

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Section: Use Of Extruded Element With Directional Enrichmentmentioning

confidence: 99%

Geometrically conforming and directionally enriched finite element method for three dimensional slender members

Jha

Upadhyay

2022

Numerical Meth Engineering

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“…Since most of the plate theories are used to obtain global response such as buckling load, Mohite and Upadhyay [76] studied the quality of the point-wise stresses obtained using higher-order shear deformable, hierarchic and layer-wise theories for a plate under transverse loading. Their study identified the effectiveness of higher order, layer-wise theories and hierarchical models in various problem types.…”

Section: Theory Codementioning

confidence: 99%

A review of research and recent trends in analysis of composite plates

2018

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The use of advance composite materials is increasing in various industrial applications such as renewable energy, transportation, medical devices, etc. As the demand for stability under high mechanical, thermal, electrical and combined loads is increasing, research is being focused on developing newer types of composites and developing analytical and numerical methods to study composite plates as well. The present work is aimed to provide a comprehensive review of research in the structural analysis of composite plates along-with research trends in the last 15 years. The article first presents the evolution of plate theories comparing their formulations, applicability and discusses some key papers, results and conclusions. Evolution of research from the equivalent shear deformation theories (ESL) such as first order theory and higher order theories based on various shape strain functions e.g., polynomial, trigonometric to layer-wise, zigzag and displacement potential theories is presented. The comparative analysis of various solution approaches is done based on a review of research work in the structural analysis of plates. This is followed by review of meshless analysis methods for composite materials highlighting problem domains where conventional finite element analysis (FEA) approach has limitations. This article also presents a discussion on the new methods of plate analysis such as region-by-region modeling, hierarchic modeling and mixed FE and neural network based modeling. An attempt has been done in this article to focus on research trends in the last 15 years.

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“…14 Further, estimation and control of the error in the quantity of interest and "one-shot" adaptive approach for the control of discretization error was proposed in Ref 15. and used for the accurate analysis of first-ply failure loads in Ref 16…”

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confidence: 99%

Reliable Computation of Local Quantities of Interest in Composite Laminated Plates

Mohite

Upadhyay

2005

46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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In the present study a family of plate models available for the analysis of laminated structures is compared under transverse loading for the point-wise data like maximum transverse deflection and local state of stress. Here, the plate models compared are Higherorder-Shear-Deformable (HSDT) model, Hierarchic model and Layerwise model. It is seen that all the models predict the deflections accurately. The local state of stress is computed using direct finite element data and equilibrium approach of post processing as well. It is seen for HSDT and hierarchic models that the state of stress computed using direct finite element data is significantly different from exact one, whereas for the layerwise model it is accurately predicted. With equilibrium approach of post processing the local state of stress is accurately predicted by all the models. Further, the effect of the model on first-ply failure load obtained using the equilibrium approach of transverse stress extraction and Tsai-Wu failure criterion is studied. The effect of discretization error control by a one shot adaptive approach has been studied for the first-ply failure loads. It is seen that the control of discretization error together with equilibrium approach of post processing leads to significant reduction in the computed values of failure load. Nomenclature x,y,z = global coordinates a,b = plate dimensions t = laminate thickness t i = i th lamina thickness p xy = in-plane approximation order p z = transverse approximation order S = aspect ratio q 0 = intensity of transverse loading u(x,y,z) = generalized displacement z = non-dimensionalised plate thickness I.

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Accurate computation of critical local quantities in composite laminated plates under transverse loading

Cited by 13 publications

References 48 publications

Geometrically conforming and directionally enriched finite element method for three dimensional slender members

Geometrically conforming and directionally enriched finite element method for three dimensional slender members

A review of research and recent trends in analysis of composite plates

Reliable Computation of Local Quantities of Interest in Composite Laminated Plates

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