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Journal articles on the topic 'Shear Lag Model'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Ma, Yu Pu, Xin Zhi Lin, Qing Fen Li, and Zhen Li. "A Damage Model Containing Delamination in Composite Laminates." Key Engineering Materials 324-325 (November 2006): 43–46. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.43.

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When stress is high, delaminate damage can be induced by transverse cracks. A complete parabolic shear-lag damage model containing delamination induced by transverse cracks is therefore proposed and applied to predict the stiffness reduction by transverse cracking in cross-ply laminated composite materials. The predictions of the complete parabolic shear-lag analysis model, the incomplete parabolic shear-lag analysis model, and the complete parabolic shear-lag damage model containing delamination proposed in this paper have been compared. Results show that the young’s modulus reduction values obtained by our analysis model are better agreement with the experimental ones than other models.

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2

Bhalla, Suresh K., and Sumedha Moharana. "Modelling of Piezo-Bond Structure System for Structural Health Monitoring Using EMI Technique." Key Engineering Materials 569-570 (July 2013): 1234–40. http://dx.doi.org/10.4028/www.scientific.net/kem.569-570.1234.

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During the last two decades, active research has gone into the theoretical and the practical aspects of the electro-mechanical impedance (EMI) technique for structural health monitoring (SHM).This paper reviews the theoretical developments in modelling the force transfer mechanism between the piezoelectric-ceramic (PZT) patch and the host structure pertinent to the EMI technique. The review covers the modelling efforts spanning about last one and a half decades. The models reviewed include the shear lag based model, simplified shear lag model, the refined shear lag model and the continuum shear lag model. The first three listed models ignored the inertia term. The last model, that is the continuum based model, takes care of all the piezo, structural and adhesive effects rigorously and simultaneously. Typical comparisons between the outcomes resulting from the models are discussed.

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3

Nairn, John A., and H. Daniel Wagner. "A Revised Shear-Lag Analysis of an Energy Model for Fiber-Matrix Debonding." Advanced Composites Letters 5, no. 5 (September 1996): 096369359600500. http://dx.doi.org/10.1177/096369359600500501.

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A shear-lag analysis based on energy is used to predict the amount of debonding that occurs when a fiber fragment breaks into two fragments. The shear-lag analysis reproduces all features of more sophisticated analyses. A drawback of the shear-lag analysis, however, is that it depends on an unknown parameter which can be expressed in terms of an effective fiber volume fraction. If the effective fiber volume fraction can be determined (by experiments or by advanced stress analyses), the shear-lag model can be used to interpret debonding experiments.

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4

Nairn, J. A. "Generalized Shear-Lag Analysis Including Imperfect Interfaces." Advanced Composites Letters 13, no. 6 (November 2004): 096369350401300. http://dx.doi.org/10.1177/096369350401300601.

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Two recent papers showed that shear-lag analysis can be an effective tool for stress analysis of composites when done properly and when applied to problems for which it is appropriate. This paper extends the prior analysis of concentric cylinders to a generalized shear-lag analysis in which the transverse variations of shear stress are described by arbitrary shape functions. The shear-lag analysis and solution can be derived in terms of averages of the new shape functions. The shape functions can be specified after analysis and tailored to suit specific problems. This paper also extends shear-lag analysis of both concentric cylinders and multilayered structures to model imperfect interfaces between the layers. The generalized methods were applied to several issues in fibre/matrix stress transfer modelled as two concentric cylinders. By modifying prior shape functions, it was possible to extend shear-lag analysis to work for any fibre volume fraction. Prior shear-lag models were all unacceptable at low fibre volume fraction. The full shear-lag analysis can model stress transfer for both isotropic and anisotropic fibres. The new imperfect interface capability was used to interpret experimental results for fibre/matrix stress transfer in terms of interface quality.

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5

Zhao, Pinglao, and Shaocheng Ji. "Refinements of shear-lag model and its applications." Tectonophysics 279, no. 1-4 (September 1997): 37–53. http://dx.doi.org/10.1016/s0040-1951(97)00129-7.

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6

Luo, Q. Z., Y. M. Wu, Q. S. Li, J. Tang, and G. D. Liu. "A finite segment model for shear lag analysis." Engineering Structures 26, no. 14 (December 2004): 2113–24. http://dx.doi.org/10.1016/j.engstruct.2004.07.010.

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7

Lu, Hailin, Heng Cai, Zheng Tang, and Zijun Nan. "Experimental study and finite element analysis on shear lag effect of thin-walled curved box beam under vehicle loads." MATEC Web of Conferences 169 (2018): 01040. http://dx.doi.org/10.1051/matecconf/201816901040.

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Shear lag effects of curved box beam under vehicle loads are investigated by using three-dimensional finite element method, where 4 parameters of vehicle loads, load size, vehicle speed, vehicle load position, load types, are considered. The change rules of stress distribution and shear lag coefficients of upper flange at mid-span are obtained when the loads move to the mid-span. The results indicate that under vehicle loads, the peak shear lag coefficients is at the junction between the flange and web, shear lag effect is prominent, shear lag effect is greatly influenced by vehicle speed and vehicle load position, while load size and load types almost don’t affect shear lag coefficients but do affect the stress. The model experiment of a cantilever curved box beam is carried out to compare with finite element analysis, and the error between them is small, which testify the validity and reliability of finite element model.

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8

Kumar, S., and M. A. Khan. "A shear-lag model for functionally graded adhesive anchors." International Journal of Adhesion and Adhesives 68 (July 2016): 317–25. http://dx.doi.org/10.1016/j.ijadhadh.2016.04.010.

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9

Yu, J., S. W. Hu, Y. C. Xu, and B. Fan. "Coupled Mechanism on Interfacial Slip and Shear Lag for Twin-Cell Composite Box Beam Under Even Load." Journal of Mechanics 34, no. 5 (September 14, 2017): 601–16. http://dx.doi.org/10.1017/jmech.2017.77.

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AbstractA model of Twin-cell Composite Box Beam (TCCBB), which is composed of concrete plate and thin-walled steel box beam with twin-cell, is proposed in this paper. Combined with structural features, longitudinal interfacial slip mode (LISM) and related shear hysteresis functions (SHFS) of this TCCBB model are defined respectively; analytical formulation describing combination effect between interfacial slip and shear lag is launched for this TCCBB model under even load. Based on established governing differential equations and its relative boundary conditions (calculated with compatible mechanism of interfacial slip and shear lag effect), closed form solutions of normal stress and shear stress are derived for this TCCBB model, as well as effective shear-lag coefficient and effective coupled behavior coefficient. To obtain more accurate computational results of specific coupled mechanism of this TCCBB model, numerical example is carried out to analyze and predict coupled mechanism of interfacial slip and shear lag effect for this type of composite structures.

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10

Xiong, Xiaoshuang, Shirley Z. Shen, Lin Hua, Xiang Li, Xiaojin Wan, and Menghe Miao. "Predicting tensile behaviors of short flax fiber-reinforced polymer–matrix composites using a modified shear-lag model." Journal of Composite Materials 52, no. 27 (April 6, 2018): 3701–13. http://dx.doi.org/10.1177/0021998318769128.

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Natural fiber-reinforced composites are increasingly being used in the industry. The fiber–matrix interfacial properties of the composites are influenced by many factors, including chemical treatment of the natural fiber, type of polymer matrix, composites fabrication method, and process and the service environment of the composites. In this paper, a modified shear-lag model based on a cohesive fiber/matrix interface is proposed and applied to the analysis of the stress–transfer characteristics and the tensile properties of unidirectional short flax fiber-reinforced composites. The model takes into account of the interfacial shear stiffness, bonding strength between fiber end face and matrix, fiber aspect ratio and fiber volume fraction. 3D finite element models of the composites using a cohesive zone method are used to verify the accuracy of the modified shear-lag model. The fiber tensile strength and the composite tensile elastic modulus are significantly influenced by the interfacial shear stiffness, fiber aspect ratio, and fiber volume fraction. The bonding strength between the fiber end face and the matrix only has an effect when the interfacial shear stiffness is low. The predicted results from the modified shear-lag model show good agreement with the finite element analysis and experimental results in the literature. The modified cohesive shear-lag model provides a simple and effective method for analyzing fiber axial stress, shear stress in the fiber/matrix interface, and tensile elastic modulus of the final composite.

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11

Zang, Xiaomeng, Genhui Wang, Jianchang Li, Rongcheng Hou, Yanan Gan, Junjie Wang, and Wei Zhang. "A Mathematical Model to Simulate Static Characteristics of T-Beam Bridge with Wide Flange." Journal of Mathematics 2021 (January 29, 2021): 1–9. http://dx.doi.org/10.1155/2021/6623819.

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This study considers various factors, such as shear lag effect and shear deformation, and introduces the self-stress equilibrium for shear lag warping stress conditions to analyze the static characteristics of T-beam bridges accurately. In the mechanical analysis, three generalized displacement functions are applied, and the governing differential equations and natural boundary conditions of the static characteristics of T-beams are established on the basis of the energy variational principle. In the example, the influences of the shear lag effect, different load forms, and span ratio on the mechanical properties of T-beam bridges are analyzed. Therefore, the method of this study enriches and develops the theoretical analysis of T-beams, and it plays a certain guiding role in designing such a structure.

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12

Wu, You Ming, Yong Jun Lu, and Han Shi. "Shear Lag Effect of Continuous Curved Box Girder with Initial Curvature." Advanced Materials Research 538-541 (June 2012): 1701–4. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.1701.

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The homogeneous solutions of the governing differential equations for shear lag are used as the displacement patterns of the finite segment are presented. A finite segment model with consideration of initial curvature, bending, torsion and shear lag is established. In addition, the tests of the two-span continuous curved box girder and numerical calculations of the model tests by finite segment method and finite element method are made. The results of the model tests and numerical calculation are consistent with each other. An actual example was given to investigate the shear lag effect of a continuous curved box girder under load. The research results show that the initial curvature has an obvious influence on the shear lag effect of a continuous curved box girder.

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13

Räisänen, V. I., M. J. Alava, K. J. Niskanen, and R. M. Nieminen. "Does the shear-lag model apply to random fiber networks?" Journal of Materials Research 12, no. 10 (October 1997): 2725–32. http://dx.doi.org/10.1557/jmr.1997.0363.

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The shear-lag type model due to Cox (Br. J. Appl. Phys. 3, 72 (1952) is widely used to calculate the deformation properties of fibrous materials such as short fiber composites and random fiber networks. We compare the shear-lag stress transfer mechanism with numerical simulations at small, linearly elastic strains and conclude that the model does not apply to random fiber networks. Most of the axial stress is transferred directly from fiber to fiber rather than through intermediate shear-loaded segments as assumed in the Cox model. The implications for the elastic modulus and strength of random fiber networks are discussed.

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14

Bhalla, Suresh, and Sumedha Moharana. "A refined shear lag model for adhesively bonded piezo-impedance transducers." Journal of Intelligent Material Systems and Structures 24, no. 1 (September 5, 2012): 33–48. http://dx.doi.org/10.1177/1045389x12457837.

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The performance (sensing/actuating) of a piezotransducer highly depends upon the ability of the bond layer to transfer the stress and strain (through shear lag mechanism) between the transducer and the structure. Therefore, the coupled electromechanical response of the piezotransducer should consider the effect of dynamic behaviour, geometry and composition of the adhesive layer used to bond the transducer patch on the structure. This article presents a new refined analytical model for inclusion of the shear lag effect in modelling of adhesively bonded piezoelectric ceramic (lead zirconate titanate) patches for consideration in the electromechanical impedance technique. The previous models neglected the inertial term in shear lag formulations for simplicity. The present refined model, on the other hand, considers the inertial and the shear lag effects simultaneously, and is therefore more rigorous and complete. In this article, the formulations are first derived for one-dimensional case, and then extended to two-dimensional lead zirconate titanate–structure interaction. The overall results are found to be in better proximity to experimental observations. The refined formulations are employed for a detailed stress analysis of the bond layer. The article concludes with a parametric study on the influence of various sensor parameters on the electromechanical impedance signatures.

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15

Kimura, Souta, Jun Koyanagi, Takayuki Hama, and Hiroyuki Kawada. "An Improved Shear-Lag Model for a Single Fiber Composite with a Ductile Matrix." Key Engineering Materials 334-335 (March 2007): 333–36. http://dx.doi.org/10.4028/www.scientific.net/kem.334-335.333.

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A shear-lag model is developed to predict the stress distributions in and around an isolated fiber in a single-fiber polymer matrix composite (PMC) subjected to uniaxial tensile loading and unloading along the fiber direction. The matrix is assumed to be an elasto-plastic material that deforms according to J2 flow theory. The stress distributions are obtained numerically and compared with a different shear-lag model that employs total strain theory as a constitutive equation of the matrix material. An effect of the difference between the models on the derived stress state is discussed.

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16

Gao, X. L., and K. Li. "A shear-lag model for carbon nanotube-reinforced polymer composites." International Journal of Solids and Structures 42, no. 5-6 (March 2005): 1649–67. http://dx.doi.org/10.1016/j.ijsolstr.2004.08.020.

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17

Jiang, Guoliang, and Kara Peters. "A shear-lag model for three-dimensional, unidirectional multilayered structures." International Journal of Solids and Structures 45, no. 14-15 (July 2008): 4049–67. http://dx.doi.org/10.1016/j.ijsolstr.2008.02.018.

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18

Mallik, Nilanjan. "Shear Lag Micromechanics Model for Effective Properties of Piezoelectric Composites." AIAA Journal 43, no. 12 (December 2005): 2617–23. http://dx.doi.org/10.2514/1.16314.

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19

Sun, Lei, Xian Wu Hao, and Kang Lei. "Analysis on Shear Lag Effect of Single Box and Double Cell Box Girders for Wei River Grand Bridge." Applied Mechanics and Materials 121-126 (October 2011): 3145–49. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.3145.

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In order to study the influence of shear lag effect of single box and double cell box girder on structure，to make the rigid frame continuous bridge of Wei River grand bridge as the research object, through the establishment of finite element model, the normal stress and shear lag coefficient of the control sections in various working conditions is calculated, and the distribution of the box girder normal stress under shear lag effect is obtained.

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20

Szumigała, M., and K. Ciesielczyk. "Shear Lag Effect In The Numerical Experiment." Archives of Civil Engineering 61, no. 3 (September 1, 2015): 31–50. http://dx.doi.org/10.1515/ace-2015-0023.

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AbstractThe standard PN-EN 1993-1-5: 2008 (Eurocode 3) compared with the standard (PN-B-03200: 1990) used previously in Poland, introduces extended rules referring to the computations of the bearing capacity of the plated structural elements including the shear lag effect. The stress distribution in the width flanges is variable. Therefore in the case of the beam with the shear lag effect cannot be calculated by the classic beam theory.In this article a comparison of the results of the calculations of forces distribution, stresses and displacement according to the rule presented in PN-EN 1993 and results of the numerical computations for 3D model (using finite element method) is presented. The elastic shear lag effects, the elastic shear lag effects including effects of the plate buckling and the elastic-plastic shear lag effects including the local instabilities were analysed. The calculations were performed for beams with a small and a large span and an influence of stiffeners was analysed.

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21

Chen, Mu, Jiang Hong Xue, and Neng Gan. "Entity Analysis of Shear Lag about Grooved Beam." Applied Mechanics and Materials 602-605 (August 2014): 533–35. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.533.

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We establish the entity model of groove beams in Midas FEA. Then we compare and analysis the shear lag effect of prestressed reinforcement caused in different locations. It can provide some suggestions for prestressed rib of groove beams. The result shows that when the prestressed steel beam is located in the middle of small beam, the effect of shear lag is maximum and the shear lag effects of prestressed in two ends are similar, Prestressed reinforcement can be arrangement refer to the results.

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22

Choyal, Vijay, and Shailesh I. Kundalwal. "Interfacial characteristics of hybrid nanocomposite under thermomechanical loading." Journal of the Mechanical Behavior of Materials 26, no. 3-4 (December 20, 2017): 95–103. http://dx.doi.org/10.1515/jmbm-2017-0018.

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AbstractIn this work, an improved shear lag model was developed to investigate the interfacial characteristics of three-phase hybrid nanocomposite which is reinforced with microscale fibers augmented with carbon nanotubes on their circumferential surfaces. The shear lag model accounts for (i) radial and axial deformations of different transversely isotropic constituents, (ii) thermomechanical loads on the representative volume element (RVE), and (iii) staggering effect of adjacent RVEs. The results from the current newly developed shear lag model are validated with the finite element simulations and found to be in good agreement. This study reveals that the reduction in the maximum value of the axial stress in the fiber and the interfacial shear stress along its length become more pronounced in the presence of applied thermomechanical loads on the staggered RVEs. The existence of shear tractions along the RVE length plays a significant role in the interfacial characteristics and cannot be ignored.

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23

Shu, Xiao Juan, Xin Gu Zhong, Zhen Xing Li, Ming Yan Shen, and Hong Bing Chen. "Experimental Study on Shear Lag of Box Girder with Variable Depth under Varying Lateral Position Concentric Loads." Applied Mechanics and Materials 501-504 (January 2014): 993–99. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.993.

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This paper introduces the test and analysis of shear lag effect of a vast scale model of a continuous box girder with variable depth under symmetric lateral varying concentric loads. The strain distribution of the top plates and bottom ones of three cross-sections is tested, while the concentric loads respectively forced on the middle section and the quartile ones. Those sections are: the root-section of the cantilever, mid-section and one quartile section. Test shear lag coefficients of feature points were got through dividing the test strains to those calculated by elementary beam theory. They are compared with those soluted by method of energy variational calculus. The comparing result shows that the shear lag coefficients of the top plate shift from positive to negative accompanying with the load position from ribs to mid point of top plate. At the same time, the overall shear lag coefficient level increases. Meanwhile that of the corresponding bottom plate distribution character finely changes, but its overall shear lag coefficient declines that means that the contribution to bending resisting of bottom weakens. Lateral position of concentric loads has fine influence on shear lag of those sections relatively far from the loads.

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24

Kim, Hong Gun. "Prediction of Elastic Properties in Discontinuous Composite Materials." Key Engineering Materials 297-300 (November 2005): 1265–69. http://dx.doi.org/10.4028/www.scientific.net/kem.297-300.1265.

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The shortcoming of conventional SLT (Shear Lag Theory) is due to the neglect of stress transfer across the fiber ends, which results in the inaccurate stress variation for the fiber when the fiber aspect ratio is small in elastic loading. Thus a new model called NSLT (New Shear Lag Theory) is developed considering the stress concentration effects that exists in the matrix regions near fiber ends. In this paper the prediction of elastic composite modulus is presented to evaluate the stress transfer mechanism using NSLT. A micromechanical FEA (Finite Element Analysis) model with axisymmetry is implemented to verify the results of fiber stresses and interfacial shear stresses. It is found that the proposed model gives a reasonable prediction compared with the results based on other models.

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25

Swanson, S. R. "On the Mechanics of Microcracking in Fiber Composite Laminates Under Combined Stress." Journal of Engineering Materials and Technology 111, no. 2 (April 1, 1989): 145–49. http://dx.doi.org/10.1115/1.3226446.

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The formation of matrix microcracks in fiber composite laminates has been widely observed. The present paper addresses the mechanics of this microcracking by means of a shear lag model in conjunction with a Weibull failure criterion for further cracking. This shear lag model considers both shear loading as well as cross-fiber tension in the cracked ply. The reduction in inplane shear and tensile modulus of the cracked ply is computed directly from the model. The increase in applied load required to produce new cracks is computed and shows general agreement with previous experimental results. A general approximate relationship between the applied strain levels and the modulus reduction is presented.

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26

Zeng, Qing Dun, and Mao Hua Ouyang. "Analysis of Stresses for Cross-Ply Laminates with a Matrix Crack under Bending." Advanced Materials Research 284-286 (July 2011): 492–95. http://dx.doi.org/10.4028/www.scientific.net/amr.284-286.492.

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On the basis of the shear-lag theory, an analysis was presented for stress redistributions of cross-ply laminates with a transverse matrix crack in the 90º ply under bending by establishing a layered shear-lag model. The present results show that approximate solutions of displacement and stress distributions for cross-ply laminates with a transverse crack under bending can be obtained by using a shear-lag method. The present paper therefore affords a new approach for studying the stress redistributions and failure mechanism for cross-ply laminates with flaw under bending.

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27

Qiao, Jin Li, Yong Jin, Wen Ling Tian, Xiang Shang Chen, Chuang Du, and Shu Ling Gao. "The Shear-Lag Effect on Curved Box Girder Bridge Considering Prestress and Initial Curvature." Applied Mechanics and Materials 204-208 (October 2012): 2100–2104. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.2100.

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According to the principle of minimum potential energy and energy differential methods and assuming the shear lag warp displacement function with consideration of prestressed steel, a set of differential equations are deduced with different boundary conditions in considering moment, torsion, shear lag coupling. And the numerical solution of the differential equations is gained by Galerlein method. In addition, explores the influence on shear lag with prestressed force or not, dead loading, live loading and prestressed forces of the prestessed steels the areas of them basing on the model experiment and finite element model. Comparisons of results for typical numerical examples are given to verify the accuracy and applicability of the present method.

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28

Li, Yan-feng, Xing-long Sun, and Long-sheng Bao. "PC Cable-Stayed Bridge Main Girder Shear Lag Effects: Assessment of Single Cable Plane in Construction Stage." Advances in Materials Science and Engineering 2020 (March 31, 2020): 1–16. http://dx.doi.org/10.1155/2020/2646513.

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A model test and finite element analysis were conducted in this study to determine the distribution law of shear lag effect in the main beam section, a box girder, during the cable-stayed bridge construction process. The experimental and theoretical results were compared in an example of loading the control section. The stress value of the cable tension area of the main beam upper edge was found to markedly change when tensiling the cable force and was accompanied by prominent shear lag effect. After a hanging basket load was applied, the main beam of certain sections showed alternating positive and negative shear lag characteristics. The shear lag distribution law in the box girder of the single-cable-plane prestressed concrete cable-stayed bridge along the longitudinal direction was determined in order to observe the stress distribution of the girder. The results show that finite element analysis of the plane bar system should be conducted at different positions in the bridge under construction; the calculated shear lag coefficient of the cable force acting at the cable end of the cantilever reflects the actual force. In the beam segments between the cable forces, the shear lag coefficient determined by the ratio of the bending moment to the axial force reflects the actual stress at the cable force action point. In the midspan beam section between the action points of cable forces, the shear lag coefficient of the bending moment reflects the actual stress. The section shear lag coefficient can be obtained by linear interpolation of the beam section between the cable action point and the middle of the span.

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29

McGuigan, A. P., G. A. D. Briggs, V. M. Burlakov, M. Yanaka, and Y. Tsukahara. "An elastic–plastic shear lag model for fracture of layered coatings." Thin Solid Films 424, no. 2 (January 2003): 219–23. http://dx.doi.org/10.1016/s0040-6090(02)01124-0.

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30

Landis, C. M., M. A. McGlockton, and R. M. McMeeking. "An Improved Shear Lag Model for Broken Fibers in Composite Materials." Journal of Composite Materials 33, no. 7 (April 1999): 667–80. http://dx.doi.org/10.1177/002199839903300704.

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31

Li, Yong, Kai Zhang, Bailin Zheng, and Fuqian Yang. "Shear-lag model of diffusion-induced buckling of core–shell nanowires." Journal of Physics D: Applied Physics 49, no. 28 (June 15, 2016): 285602. http://dx.doi.org/10.1088/0022-3727/49/28/285602.

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32

Ang, Kok Keng, and Khondaker Sakil Ahmed. "An improved shear-lag model for carbon nanotube reinforced polymer composites." Composites Part B: Engineering 50 (July 2013): 7–14. http://dx.doi.org/10.1016/j.compositesb.2013.01.016.

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33

Wei, Xiaoding, Tobin Filleter, and Horacio D. Espinosa. "Statistical shear lag model – Unraveling the size effect in hierarchical composites." Acta Biomaterialia 18 (May 2015): 206–12. http://dx.doi.org/10.1016/j.actbio.2015.01.040.

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34

Zhang, Junqian, and C. He. "A three-phase cylindrical shear-lag model for carbon nanotube composites." Acta Mechanica 196, no. 1-2 (September 18, 2007): 33–54. http://dx.doi.org/10.1007/s00707-007-0489-x.

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35

Mahajan, Puneet, Chitoshi Masuda, and Yoshihisa Tanaka. "Reaction-Layer Debonding in Fibre Composites Using a Shear Lag Model." International Journal of Materials Research 84, no. 1 (January 1, 1993): 63–68. http://dx.doi.org/10.1515/ijmr-1993-840112.

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36

Zeng, Qing Dun, and Mao Hua Ouyang. "Analysis of Stresses for Cross-Ply Laminates with Multiple Matrix Cracks under Bending." Advanced Materials Research 311-313 (August 2011): 256–59. http://dx.doi.org/10.4028/www.scientific.net/amr.311-313.256.

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On the basis of the shear-lag theory, a layered shear-lag model was established to study the stress redistributions of cross-ply laminates with multiple transverse matrix cracks in the 90º ply under bending. The present results are in a good agreement with variational solutions and finite element results and show that approximate solutions of stress distributions for cross-ply laminates with transverse cracks under bending can be obtained by using a shear-lag method. The present paper therefore affords a new way or method for studying the stress redistributions and failure mechanism for cross-ply laminates with flaws under bending.

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37

Miao, Lin, and De Wei Chen. "The Effect of Shear Lag on Long-Term Behavior of Steel/Concrete Composite Beams." Advanced Materials Research 255-260 (May 2011): 1070–76. http://dx.doi.org/10.4028/www.scientific.net/amr.255-260.1070.

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It is well known that shear lag effect exists in wide flange concrete slabs. Traditionally, the effective flange width method is employed for considering the shear lag effect in a steel/concrete composite beam. The limitation of this method is that the load types and constraint conditions are generally ignored. In this paper, an analytical method using full flange width has been proposed by introducing shear warping shape function and intensity function of the shear warping displacement. By mean of two unknown functions: the vertical displacement of the whole cross section and the intensity of the warping, a variational balance condition which involves equilibrium equations with relevant boundary condition is imposed by the virtual work theorem. As a result, the shear-lag effect is considered by additional virtual external load, expressed as “additional bending moment”. The performance of this method dealing with elastic problem has been verified by finite element method using solid elements. Finally, the method is applied to investigate the long-term behavior of a beam fixed at two ends. It has been found that the results yielded from the code based on the effective flange width method are intervenient between those obtained from the current model with elastic and viscoelastic problem; the result errors of beam finite element model considering shear-lag effect can be modified by the method proposed in this paper.

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Bouhamida, Bachir, and Abderrazek Merzoug. "Novel Analytical Model of Stress Concentration around Broken Fibers of Unidirectional Composite Plate." Periodica Polytechnica Mechanical Engineering 65, no. 2 (March 1, 2021): 120–28. http://dx.doi.org/10.3311/ppme.16062.

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During the fiber fracture of unidirectional composite a distribution of stress around the neighbored fibers happens, this mechanism is called the local redistribution efforts. Referring to the "shear lag" method, the researches wanted to predict the stress concentration in the surrounding area of broken fibers as well as the longitudinal resistance of the unidirectional composite which presents a fiber breaking. The goal of this paper is to develop a new probabilistic model of unidirectional composite plate to calculate the stress concentration at the broken fibers and their neighboring fiber intact. The "shear lag" method has been generalized to see the broken fibers interference on the stress concentration factor variation of surrounding sound fibers.

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Yu, J., S. W. Hu, Z. G. Zhang, and C. J. Wei. "Shear Lag and Related Parameter Impact Researches for Twin-Cell Composite Box Beam Under Concentrated Loads." Journal of Mechanics 33, no. 4 (January 24, 2017): 443–60. http://dx.doi.org/10.1017/jmech.2017.5.

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AbstractAn analytical solution is launched for Twin-cell Composite Box Beam (TCCBB) considering the impact of shear lag effects of concrete slab and twin-cell steel girder. To in-depth explore its mechanical mechanism, a new warping displacement mode of wide flange is chosen to meet the essential deformation feature of this TCCBB model by authors. Combining the virtual work principle with the thin-walled beam theory, its governing equations and boundary conditions are established for the TCCBB model. Closed form solutions for longitudinal strain and its shear lag coefficients are also derived under concentrated loads. What's more, experiment investigation and related parameter impact analysis are carried out for this established TCCBB model. Through this research, it shows that the proposed method can be applied to describe and predict shear lag behaviors for this type of composite structure. That further suggests that it provides a certain reference value for engineering design and its late reinforcement and maintenance in the composite structure.

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Ji, Wei, and Shi Zhong Liu. "Vertical Deflection of Simply Supported Box Beam with Corrugated Steel Webs Including Effects of Shear Lag and Shear Deformation." Applied Mechanics and Materials 204-208 (October 2012): 1012–16. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.1012.

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This paper presents an method to solve the vertical deflection of the box beams with corrugated steel webs, considering both the shear lag and shear deformation of corrugated steel webs. The method is deduced by means of the variational principle. The formulas given by this method is simple and practical. Then, a comprehensive analysis on the effects of shear lag and shear deformation of corrugated steel webs is given for a simply supported box beam with corrugated steel webs under uniformly distributed. The results of vertical deflection obtained by this paper are in good agreement with those obtained by the finite element method (FEM) and the model test, respectively.

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Nairn, John A. "Fracture Mechanics of Unidirectional Composites Using the Shear-Lag Model I: Theory." Journal of Composite Materials 22, no. 6 (June 1988): 561–88. http://dx.doi.org/10.1177/002199838802200604.

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Nairn, John A. "Fracture Mechanics of Unidirectional Composites Using the Shear-Lag Model II: Experiment." Journal of Composite Materials 22, no. 6 (June 1988): 589–600. http://dx.doi.org/10.1177/002199838802200605.

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Mojdehi, Ahmad R., Douglas P. Holmes, and David A. Dillard. "Friction of extensible strips: An extended shear lag model with experimental evaluation." International Journal of Solids and Structures 124 (October 2017): 125–34. http://dx.doi.org/10.1016/j.ijsolstr.2017.06.021.

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Brely, Lucas, Federico Bosia, and Nicola M. Pugno. "Emergence of the interplay between hierarchy and contact splitting in biological adhesion highlighted through a hierarchical shear lag model." Soft Matter 14, no. 26 (2018): 5509–18. http://dx.doi.org/10.1039/c8sm00507a.

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Kashtalyan, M., and C. Soutis. "Application of the Equivalent Constraint Model to Investigate Stiffness Properties of Transversally Cracked and Split Frp Laminates." Advanced Composites Letters 8, no. 5 (September 1999): 096369359900800. http://dx.doi.org/10.1177/096369359900800501.

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A new approach based on the Equivalent Constraint Model (ECM) [ 1 ] of the damaged lamina is applied to investigate the stiffness degradation in [0m/90n]s laminates due to matrix cracking both in the 90° (transverse cracking) and 0° (splitting) plies. The advantage of the approach is that it avoids cumbersome consideration of a repeated laminate element defined by the intersecting pairs of transverse cracks and splits, intrinsic to the earlier developed models [ 2 – 6 ]. Instead, two coupled problems for ECM laminates are solved. The stress field in the damaged lamina is determined by means of an improved 2-D shear lag analysis, and the reduced stiffness properties are described with the help of Insitu Damage Effective Functions, for which closed form expressions are obtained. Comparison of the new ECM/2-D shear lag model with the earlier developed models shows a reasonable agreement.

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Gindl-Altmutter, W., U. Müller, and J. Konnerth. "The significance of lap-shear testing of wood adhesive bonds by means of Volkersen’s shear lag model." European Journal of Wood and Wood Products 70, no. 6 (June 4, 2012): 903–5. http://dx.doi.org/10.1007/s00107-012-0621-z.

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Ryu, Ho J., Seung I. Cha, and Soon H. Hong. "Generalized shear-lag model for load transfer in SiC/Al metal-matrix composites." Journal of Materials Research 18, no. 12 (December 2003): 2851–58. http://dx.doi.org/10.1557/jmr.2003.0398.

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The load-transfer efficiency of reinforcement, in cylindrical forms in metal-matrix composite (MMC), was analyzed based on the shear-lag model. Both the geometric shape and alignment of reinforcement were considered. The stress transferred to a misaligned whisker was calculated from differential equations based on the force equilibrium in longitudinal and transverse directions. A new parameter, defined as effective aspect ratio, was used to indicate the load-transfer efficiency of misaligned reinforcement. The effective aspect ratio was formulated as a function of aspect ratio and misorientation angle of reinforcement in MMC. A probability density function of misorientation distribution was used to estimate the strengthening effect of all misaligned whiskers distributed in the matrix. Considering the contributions of both effective aspect ratio and misorientation distribution on load-transfer efficiency, a generalized shear-lag model was proposed to explain the mechanical anisotropy of discontinuous reinforced MMC.

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Kim, Hong Gun, Sung Mo Yang, Hong Gil Noh, and Dong Joo Lee. "Theoretical Assessment of Stress Analysis in Short Fiber Composites." Key Engineering Materials 261-263 (April 2004): 1421–26. http://dx.doi.org/10.4028/www.scientific.net/kem.261-263.1421.

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An investigation of composite mechanics to investigate stress transfer mechanism accurately, a modification of the conventional shear lag model was attempted by taking fiber end effects into account in discontinuous composite materials. It was found that the major shortcoming of conventional shear lag theory is not being able to provide sufficiently accurate strengthening predictions in elastic regime when the fiber aspect ratio is very small. The reason is due to its neglect of stress transfer across the fiber ends and the stress concentrations that exist in the matrix regions near the fiber ends. To overcome this shortcoming, a more simplified shear lag model introducing the stress concentration factor which is a function of several variables, such as the modulus ratio, the fiber volume fraction, the fiber aspect ratio, is proposed. It is found that the modulus ratio is the most essential parameter among them. Thus, the stress concentration factor is expressed as a function of modulus ratio in the derivation. It is also found that the proposed model gives a good agreement with finite element results and has the capability to correctly predict the variations of the internal quanitities.

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Yue, Yu Ping, and Rong Zheng Cui. "The Research of Box Beam Warping Displacement Function." Applied Mechanics and Materials 578-579 (July 2014): 868–71. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.868.

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Based on the principle of minimum potential energy, choosing warping displacement function of parabolic displacement mode, using energy variational method to deduce Box beam shear lag effect analysis of differential equation to obtain shear lag warping stress. Through the calculation of simply supported box girder model and the analyse of the stress of Wide cantilever plate, box girder roof and box girder floor Assume a new warping displacement function. Through the analysis of measured results proved the rationality of this article assumes and research value.

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Kapuria, Santosh, Bhabagrahi Natha Sharma, and A. Arockiarajan. "Dynamic Shear-Lag Model for Stress Transfer in Piezoelectric Transducer Bonded to Plate." AIAA Journal 57, no. 5 (May 2019): 2123–33. http://dx.doi.org/10.2514/1.j057681.

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