4.7 Article

Bending of thin rectangular plates with variable-thickness in a hygrothermal environment

Journal

THIN-WALLED STRUCTURES
Volume 123, Issue -, Pages 333-340

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.tws.2017.11.038

Keywords

Hygrothermal loading; Plates with thickness variation; Levy-type technique; Small parameter method; Uniform load

Funding

  1. Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [G-156-130-36]
  2. DSR

Ask authors/readers for more resources

This paper presents hygrothermomechanical bending analysis of variable-thickness thin rectangular plates. Two opposite edges of the present variable-thickness plate are clamped while the other opposite edges are simply supported. The present plate has varying thickness between its two edges and found in a hygrothermal environment. The exact analytical solutions are developed for the bending behavior of thin rectangular plates subjected to transverse uniformly distributed load. Numerical results are presented by using both Levy-type approach and the small parameter method. A validation example is employed with existing literature results. More reported and illustrated data for deflections, bending moments and bending stresses are investigated.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Mechanics

Comments on: Dynamic response of functionally graded plates resting on two-parameter-based elastic foundation model using a quasi-3D theory [Mechanics Based Design of Structures and Machines 2019;47(4):399-429]

Ashraf M. Zenkour

Summary: This comment paper highlights a serious error in the paper under review, specifically regarding incorrect displacements and erroneous shape functions.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

Article Mechanics

Free vibration and modal stress analysis of FG-CNTRC beams under hygrothermal conditions using zigzag theory

H. D. Chalak, A. M. Zenkour, Aman Garg

Summary: This study aims to analyze the free vibration of functionally graded single-walled carbon nanotube-reinforced composite (FG-CNTRC) beams under hygro-thermal conditions. The C-0 finite element-based higher-order zigzag theory is used, and five different graded beams are studied. The results show that stresses at higher mode of vibration are more affected by temperature or moisture concentration, and the stress distribution is widely influenced by the gradation law and temperature or moisture values.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

Article Mechanics

Control of hygrothermal vibration of viscoelastic magnetostrictive laminates resting on Kerr's foundation

Ashraf M. Zenkour, Hela D. El-Shahrany

Summary: In this study, the vibration response and damping behavior of a multilayered composite plate with viscoelastic faces and homogenous core were analyzed, aiming to optimize the design of composite structural systems and accurately predict the vibration behavior under thermal/hygrothermal environments. The results showed that by combining passive and active strategies, the control systems of structural applications can be greatly improved.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

Article Mechanics

Finite element modeling of the bending and vibration behavior of three-layer composite plates with a crack in the core layer

Nguyen Chi Tho, Do Van Thom, Pham Hong Cong, Ashraf M. Zenkour, Duc Hong Doan, Phung Van Minh

Summary: This study uses the third-order shear deformation theory and phase-field theory to model the free vibration response and static bending of laminated composite plates with just a core layer fracture. It integrates the finite element method with the phase-field theory to model the appearance of a fracture in a portion of the plate thickness. The results show surprising phenomena, such as minimal changes in crack length and plate properties, making it difficult to detect this kind of flaw.

COMPOSITE STRUCTURES (2023)

Article Mechanics

On accurately capturing the through-thickness variation of transverse shear and normal stresses for composite beams using FSDT coupled with GPR

A. Garg, T. Mukhopadhyay, M. O. Belarbi, H. D. Chalak, A. Singh, A. M. Zenkour

Summary: Available shear deformation theories (SDTs) have their own merits and demerits. Among SDTs, first-order shear deformation theory (FSDT) and higher-order shear deformation theories (HSDT) are widely used for LCS beams analysis. However, they cannot predict the continuation of transverse shear stresses at interfaces across the thickness of the LCS beams. This study aims to transform the stress variations obtained from FSDT to 3D Elasticity solutions using Gaussian Process Regression (GPR) based surrogate model in order to predict the variation of transverse normal stresses across the thickness accurately and efficiently.

COMPOSITE STRUCTURES (2023)

Article Engineering, Mechanical

Vibration of viscoelastic magnetostrictive plates embedded in viscoelastic foundations in hygrothermal environments

Ashraf M. Zenkour, Hela D. El-Shahrany

Summary: In this study, vibration analysis of adaptive sandwich plates under hygrothermal loads are performed. The influences of various parameters on the hygrothermal vibration characteristics are investigated, such as thickness ratio, aspect ratio, viscoelastic to magnetostrictive layer thickness ratio, modes, stiffness and damping coefficients, lamination schemes, magnitude of the feedback coefficient, location of the magnetostrictive layers, viscoelastic structural damping, temperature rise, and moisture concentration. The findings show that the vibration characteristics are sensitive to temperature and humidity concentrations. Considering these observations, the design of smart structural applications that can control vibration under such environmental conditions may be facilitated.

ACTA MECHANICA SINICA (2023)

Article Engineering, Multidisciplinary

Hygrothermal vibration control of cross-ply magneto-viscoelastic beams resting on Kerr's foundations

Ashraf M. Zenkour, Hela D. El-Shahrany

Summary: In this study, smart Terfenol-D actuating layers are used to control composite viscoelastic beams with homogenous faces under thermal/hygrothermal environmental conditions. A three-parameter Kerr's foundation is employed to reduce system deflections. The cross-ply case of the structural layers is considered with simply supported conditions. The distributions of thermal/hygrothermal loadings are assumed to vary through the thickness direction of the beam. Analytical computations, tabular displays, and graphical illustrations are used to study the vibration damping process of the presented smart sandwich beam with important structure-dependent design parameters and environmental conditions variation.

JOURNAL OF ENGINEERING MATHEMATICS (2023)

Article Chemistry, Physical

Refined Dual-Phase-Lag Theory for the 1D Behavior of Skin Tissue under Ramp-Type Heating

Ashraf M. Zenkour, Tareq Saeed, Amal M. Aati

Summary: In this article, a mathematical analysis of thermoelastic skin tissue is conducted using a refined dual-phase-lag (DPL) thermal conduction theory that accounts for multiple time derivatives. The study examines the effects of mechanical clamping, ramp-type heating, and temperature distribution on the field variables of temperature, displacement, dilatation, and stress. The findings suggest that the refined DPL bioheat conduction model can predict temperature accurately and is consistent with existing generalized thermoelastic theories.

MATERIALS (2023)

Article Mathematics

Refined Green-Lindsay Model for the Response of Skin Tissue under a Ramp-Type Heating

Ashraf M. Zenkour, Tareq Saeed, Khadijah M. Alnefaie

Summary: Based on the Green-Lindsay generalized thermoelasticity theory, this paper proposes a new refined higher-order time-derivative thermoelasticity model. The model considers a thinner one-dimensional skin tissue with its inner surface free of traction and without any temperature increase. The heating of the skin tissue's bounding surface follows a ramp-type heating. The governing equations of the proposed model are derived, and the problem is solved using the Laplace transform and the inverse Laplace transform with Tzuo's method. Numerical results are obtained for the field quantities, and the current model is compared with two different theories of thermoelasticity to analyze the effects of various parameters on thermomechanical waves through the skin tissue.

MATHEMATICS (2023)

Article Mechanics

Nonlocal higher-order finite element modeling for vibration analysis of viscoelastic orthotropic nanoplates resting on variable viscoelastic foundation

Quoc-Hoa Pham, Van Ke Tran, Trung Thanh Tran, Van Chinh Nguyen, Ashraf M. Zenkour

Summary: This article develops a novel finite element formulation based on nonlocal theory to analyze the vibration of viscoelastic orthotropic nanoplates resting on the variable viscoelastic foundation (VEF). The mechanical properties of the nanoplate are assumed to be viscoelastic orthotropic according to Kelvin's model. The variable VEF consists of two layers: a shear layer with constant stiffness, and the other layer is described as a system composed of alternating damping and springs, with variations only in the x-axis. Motion equations of the nanoplates are established using Hamilton's principle, a refined higher-order shear deformation plate theory (HSDT), and nonlocal theory. The results are verified through reliable publications, and factors influencing the vibration of orthotropic nanoplates resting on the variable VEF are discussed.

COMPOSITE STRUCTURES (2023)

Article Mechanics

Dynamic buckling analysis of functionally graded shells

B. Amieur, M. Djermane, A. M. Zenkour, F. Hammadi

Summary: One of the most important aspects in the dimensioning of structural calculations is the study of static or dynamic stability, which can be approached through different methods such as static buckling, parametric resonance, and dynamic buckling.The present work focuses on dynamic stability of functionally graded material shell structures, using dynamic buckling criteria. The objective is to determine the critical dynamic load of FG structures composite type in the dynamic case, using phase plane and motion equation criteria. Different mechanical properties are considered as continuous functions through-thickness direction, according to the volume fraction of the constituents using a simple power law distribution. The effects of variations in volume fractions and shell geometrical parameters are studied. Convergence tests and comparison studies are conducted to establish the efficiency of the proposed model.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

Article Mechanics

Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler-Pasternak Foundation with Initial Stress Effect

M. Ellali, M. Bouazza, A. M. Zenkour

Summary: This paper presents an analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler-Pasternak foundation. The investigation is conducted using nonlocal elasticity theory and a new four-unknown higher-order displacement theory with indeterminate integral terms. The frequency relations of FG nanoplates are obtained for different conditions using Hamilton's principle and Navier's method to solve an eigenvalue problem. The obtained results are compared with recent research on the frequency and phase velocity of wave propagation in FG nanoplates.

PHYSICAL MESOMECHANICS (2023)

Article Thermodynamics

Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord-Shulman model

Maryam H. Aljadani, Ashraf M. Zenkour

Summary: This paper aims to modify the generalized thermoelasticity theory of Lord-Shulman by incorporating higher-order time-derivative terms for accurate field variables. The refined theory is applied to study the effects of a magnetic field, a two-temperature parameter, and viscoelasticity on a thermoelastic medium with two temperatures. Analytical solutions are obtained and numerical data are presented using the normal mode technique. The results provide comparisons with existing literature and discuss the effects of various parameters.

CASE STUDIES IN THERMAL ENGINEERING (2023)

Article Engineering, Civil

Wave propagation of FGM plate via new integral inverse cotangential shear model with temperature-dependent material properties

Mokhtar Ellali, Mokhtar Bouazz, Ashraf M. Zenkour

Summary: The objective of this work is to study the wave propagation of an FGM plate with temperature-dependent material properties using a new integral inverse shear model. A new model based on a high-order theory field of displacement is proposed, which includes indeterminate integral variables and inverse co-tangential functions for the representation of shear stress. The effects of temperature and volume fraction distributions on wave propagation of the FGM plate are investigated, and the results are compared with previous research on dispersion and phase velocity curves.

GEOMECHANICS AND ENGINEERING (2023)

Article Mechanics

Even and Uneven Porosities on Rotating Functionally Graded Variable-thickness Annular Disks with Magneto-electro-thermo- mechanical Loadings

Rania Tantawy, Ashraf M. Zenkour

Summary: This paper investigates the impact of porosity on rotating functionally graded piezoelectric (FGP) variable-thickness annular disk. The porous disk is subject to electromagnetic, thermal, and mechanical loadings. Material coefficients are graded using a power law in the radial direction. The results show that porosity significantly affects the temperature, stresses, and displacement of the disk, highlighting its importance in engineering mechanical design.

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS (2023)

Article Engineering, Civil

A semi-analytical method for vibration localization of plates integrated with low-frequency plate-type resonators

Jian Xue, Weiwei Zhang, Jing Wu, Chao Wang, Hongwei Ma

Summary: This study integrates a plate-type local resonator with varying free boundaries within a plate to convert the initial low-order global vibration modes into localized vibration modes. A novel semi-analytical method is proposed to analyze the free vibration of the plate with thickness and displacement discontinuities. The results show that by applying free boundary conditions, the low-order localized vibration frequencies can be significantly reduced without affecting the low-order global frequencies.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Bending behavior of 3D printed sandwich structures with different core geometries and thermal aging durations

Merve Tunay

Summary: In recent years, there has been an increasing number of studies on the mechanical properties of sandwich structures manufactured with the Fused Deposition Modeling (FDM) method. However, there is still a lack of experimental data on the mechanical characteristics of FDM-manufactured sandwich structures under different thermal aging durations. In this experiment, the energy absorption capabilities of sandwich structures with different core geometries were investigated under various thermal aging durations. The results showed that the core topology significantly influenced the energy absorption abilities of the sandwich structures.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Design method of axial compression stability for cross-section corrugated plate steel special-shaped column

Zi-qin Jiang, Zi-yao Niu, Ai-Lin Zhang, Xue-chun Liu

Summary: This paper proposes a crosssection corrugated plate steel special-shaped column (CCSC) that improves the bearing capacity and overall stability of structural columns by using smaller material input. Through theoretical analysis and numerical simulation, the overall stability of the CCSC under axial compression is analyzed. The design method and suggestions for the stability of CCSC are put forward. Compared with conventional square steel tube columns, the CCSC has obvious advantages in overall stability and steel consumption.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Protective performance of hybrid triply periodic minimal surface lattice structure

Yong Zhang, Yangang Chen, Jixiang Li, Jiacheng Wu, Liang Qian, Yuanqiang Tan, Kunyuan Li, Guoyao Zeng

Summary: A hybrid TPMS method was proposed to develop a new TPMS structure, and the mechanical properties of different TPMS structures were studied experimentally and numerically. Results showed that the hybrid TPMS structure had higher energy absorption and lower load-carrying capacity fluctuation. Further investigations revealed that the topological shape and material distribution had significant influence on mechanical properties, and the hybrid additive TPMS structure exhibited significant crashworthiness advantage in in-plane crushing condition.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Experimental and analytical studies on a novel double-stage coupling damper

Tongfei Sun, Ye Liu, Kaoshan Dai, Alfredo Camara, Yujie Lu, Lijie Wang

Summary: This paper presents a series of experimental and numerical studies on the performance of a novel double-stage coupling damper (DSCD). The effects of damper configuration, friction-yield ratio (Rfy), and loading protocol on the hysteresis performance of the DSCD are investigated. The test results demonstrate that the arrangement of ribs in the DSCD increases its energy dissipation capacity. Numerical analysis reveals that the length of the friction mechanism and the clearance between the yield segment and the restraining system affect the energy dissipation and stability of the damper.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Elastic local buckling coefficients of I-shaped beams considering flange-web interaction

Jeonghwa Lee, Young Jong Kang

Summary: This study investigates the local buckling behavior and strength of I-shape structural sections by considering flange-web interactions through three-dimensional finite element analysis. The study provides a more reasonable estimation of local buckling strength by considering the ratio of flange-web slenderness and height-to-width ratio, and presents design equations for flange local and web-bend buckling coefficients.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Improvement of Ni-CFRP interfacial properties using compound coupling agent treatment

Yizhe Chen, Wenfeng Xiang, Qingsong Zhang, Hui Wang, Lin Hua

Summary: This study investigates the surface modification of a nickel plate to improve the bonding strength with carbon fiber-reinforced plastics (CFRP). The results show that different surface modification methods, including sandblasting, coupling agent treatment, and compound coupling agent treatment, significantly enhance the bonding strength of CFRP/Ni joints. The research provides insights into improving the connection between nickel and CFRP, as well as other heterogeneous materials.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

A spatial stability theory of thin-walled steel beams pre-stressed by spatially inclined un-bonded cables and its FE formulation

Agha Intizar Mehdi, Fengping Zhang, Moon-Young Kim

Summary: A spatial stability theory of mono-symmetric thin-walled steel beams pre-stressed by spatially inclined cables is derived and its validity is demonstrated through numerical examples. The effects of initial tension, deviator numbers, inclined cable profiles, and bonded/un-bonded conditions on lateral-torsional buckling of the pre-stressed beams are investigated, with a specific emphasis on the effects of increasing initial tension.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Study on structural response of water-back plate under the combined action of shock wave and bubble loads generated by cylindrical charge in deep-water environment

Teng Ma, Jinxiang Wang, Liangtao Liu, Heng Li, Kui Tang, Yangchen Gu, Yifan Zhang

Summary: The structural response of water-back plate under the combined action of shock wave and bubble loads at water depths of 1-300 m was numerically investigated using an arbitrary Lagrange-Euler method. The accuracy of the numerical model was validated by comparing with experimental and theoretical results. The influences of water depth and length-to-diameter ratio of the charge on the combined damage effect were analyzed. The results show that as water depth increases, the plastic deformation energy of the water-back plate decreases, and the permanent deformation mode changes from convex to concave. When the charge has a large length-to-diameter ratio, the plastic deformation energy of the radial plate is higher than that of the axial plate, and the difference decreases with increasing water depth. Increasing the length-to-diameter ratio enhances the combined damage effect in the radial direction in deep-water environments.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Experimental and numerical investigation on cold-formed steel zed section beams with complex edge stiffeners

Qiu-Yun Li, Ben Young

Summary: This paper investigates the flexural performance of CFS zed section members bent about the neutral axis parallel to the flanges through experimental and numerical analysis. The results show that the current direct strength method generally provides conservative predictions for the flexural strength of unstiffened zed section members, but slightly unconservative design for edge-stiffened zed section beams. The nominal flexural strengths of zed section members with edge stiffeners were found to be underestimated by 17% to 21% on average. Modified DSM formulae are recommended for the design of CFS zed section beams.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

A novel non-contact measurement strategy for large-size inflatable structures based on numerical predictions

Weinan Gao, Bo Song, Xueyan Chen, Guochang Lin, Huifeng Tan

Summary: This paper presents a precise method for predicting deformation in large-scale inflatable structures, utilizing finite element modeling and laser scanning technique. The study shows a good agreement between the predictive model and non-contact measurement results.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Experimental study on Q355 steel T-stubs connected through high-strength ring groove rivets

Fei Gao, Zongyi Wang, Rui Zhu, Zhenming Chen, Quanxi Ye, Yaqi Duan, Yunlong Jia, Qin Zhang

Summary: This research investigates the mechanical properties of high-strength ring groove rivet assemblies and the load resistances of riveted T-stubs. Experimental tests reveal that Grade 10.9 rivets have higher yield strength and strain, and lower ultimate strain, making them suitable for high-strength ring groove rivet connections. Increasing the rivet diameter benefits the T-stubs, while increasing the flange thickness is not always advantageous. The Eurocode 3 method is not suitable for T-stubs connected through ring groove rivets, while the Demonceau method is conservative.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Bending behavior of diamane and twisted bilayer graphene: Insights from four-point bending deformation

Shangchun Jiang, Liangfeng Sun, Haifei Zhan, Zhuoqun Zheng, Xijian Peng, Chaofeng Lue

Summary: This study investigates the bending behavior of two-dimensional nanomaterials, diamane and its analogous structure TBGIB, through atomistic simulations. It reveals that diamane experiences structural failure under bending, while TBGIB bends elastically before undergoing structural failure. The study provides valuable insights for the application of these materials in flexible electronics.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Life-cycle assessment and prediction on ultimate capacity of corroded Q690 steel columns with H-section under bi-directional cyclic loading

Qiang Zhang, Jianian Wen, Qiang Han, Hanqing Zhuge, Yulong Zhou

Summary: In this study, the mechanical properties of Q690 steel H-section columns under bi-directional cyclic loads are investigated, considering the time-varying characteristics of corrosion. A refined finite element (FE) model is built to analyze the degradation of mechanical property and failure mechanisms of steel columns with different design parameters during the whole life-cycle. The study proposes a quantitative calculation method for the ultimate resistance and damage index of steel columns, taking into account the ageing effects. The findings emphasize the importance of considering the ageing effects of steel columns in seismic design.

THIN-WALLED STRUCTURES (2024)

Article Engineering, Civil

Magneto-thermo-elastic coupled free vibration and nonlinear frequency analytical solutions of FGM cylindrical shell

Yuda Hu, Qi Zhou, Tao Yang

Summary: The magneto-thermo-elastic coupled free vibration of functionally graded materials cylindrical shell is investigated in this study. The vibration equation in multi-physical field is established and solved using the Hamilton principle and the multi-scale method. The numerical results show that the natural frequency is influenced by various factors such as volume fraction index, initial amplitude, temperature, and magnetic induction intensity.

THIN-WALLED STRUCTURES (2024)