Pub Date : 2024-08-10DOI: 10.1177/03093247241259818
Farhat Bibi, Hashmat Ali
The response of elastic waves upon encountering the boundary between two elastic media is investigated in the present work. Whereas the top medium is thermoelastic isotropic porous, the below medium is thermoelastic rotating porous diffusive. There is an uncoupled transmitted SV-wave propagating through the medium, and the lower medium is rotating with some fixed angular frequency. When the incident wave hits the boundary, it produces four transmitted waves and five coupled quasi-reflected waves. The system is divided into longitudinal and transverse components using the Helmholtz decomposition theorem. Analytical computations of speed and reflection coefficients for transmitted and reflected waves are performed using LS theory. The outcomes are graphically represented for a particular material subject to nonlocal and fractional-order influences. Wave characteristics, such as speed and reflection coefficients for transmitted and reflected waves, are plotted versus angular frequency and angle of incidence using MATLAB programing. The conservation of energy has also been verified. In the absence of rotation, hall current, voids, viscoelasticity, and diffusion in the medium, the previous results in the literature are obtained.
本研究探讨了弹性波在遇到两种弹性介质边界时的响应。上层介质为热弹性各向同性多孔介质，下层介质为热弹性旋转多孔扩散介质。有一个非耦合的透射 SV 波在介质中传播，下层介质以某个固定的角频率旋转。当入射波击中边界时，会产生四个透射波和五个耦合准反射波。利用亥姆霍兹分解定理将系统分为纵向和横向两个部分。利用 LS 理论对透射波和反射波的速度和反射系数进行了分析计算。计算结果以图形表示，适用于受非局部和分数阶影响的特定材料。使用 MATLAB 程序绘制了透射波和反射波的速度和反射系数等波形特征与角频率和入射角的关系图。能量守恒也得到了验证。在介质中不存在旋转、霍尔电流、空隙、粘弹性和扩散的情况下，得出了之前文献中的结果。
{"title":"Reflection and transmission phenomenon of plane waves at the interface of diffusive viscoelastic porous rotating isotropic medium under hall current and nonlocal thermoelastic porous solid","authors":"Farhat Bibi, Hashmat Ali","doi":"10.1177/03093247241259818","DOIUrl":"https://doi.org/10.1177/03093247241259818","url":null,"abstract":"The response of elastic waves upon encountering the boundary between two elastic media is investigated in the present work. Whereas the top medium is thermoelastic isotropic porous, the below medium is thermoelastic rotating porous diffusive. There is an uncoupled transmitted SV-wave propagating through the medium, and the lower medium is rotating with some fixed angular frequency. When the incident wave hits the boundary, it produces four transmitted waves and five coupled quasi-reflected waves. The system is divided into longitudinal and transverse components using the Helmholtz decomposition theorem. Analytical computations of speed and reflection coefficients for transmitted and reflected waves are performed using LS theory. The outcomes are graphically represented for a particular material subject to nonlocal and fractional-order influences. Wave characteristics, such as speed and reflection coefficients for transmitted and reflected waves, are plotted versus angular frequency and angle of incidence using MATLAB programing. The conservation of energy has also been verified. In the absence of rotation, hall current, voids, viscoelasticity, and diffusion in the medium, the previous results in the literature are obtained.","PeriodicalId":516672,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"3 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141919396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-10DOI: 10.1177/03093247241259818
Farhat Bibi, Hashmat Ali
The response of elastic waves upon encountering the boundary between two elastic media is investigated in the present work. Whereas the top medium is thermoelastic isotropic porous, the below medium is thermoelastic rotating porous diffusive. There is an uncoupled transmitted SV-wave propagating through the medium, and the lower medium is rotating with some fixed angular frequency. When the incident wave hits the boundary, it produces four transmitted waves and five coupled quasi-reflected waves. The system is divided into longitudinal and transverse components using the Helmholtz decomposition theorem. Analytical computations of speed and reflection coefficients for transmitted and reflected waves are performed using LS theory. The outcomes are graphically represented for a particular material subject to nonlocal and fractional-order influences. Wave characteristics, such as speed and reflection coefficients for transmitted and reflected waves, are plotted versus angular frequency and angle of incidence using MATLAB programing. The conservation of energy has also been verified. In the absence of rotation, hall current, voids, viscoelasticity, and diffusion in the medium, the previous results in the literature are obtained.
本研究探讨了弹性波在遇到两种弹性介质边界时的响应。上层介质为热弹性各向同性多孔介质，下层介质为热弹性旋转多孔扩散介质。有一个非耦合的透射 SV 波在介质中传播，下层介质以某个固定的角频率旋转。当入射波击中边界时，会产生四个透射波和五个耦合准反射波。利用亥姆霍兹分解定理将系统分为纵向和横向两个部分。利用 LS 理论对透射波和反射波的速度和反射系数进行了分析计算。计算结果以图形表示，适用于受非局部和分数阶影响的特定材料。使用 MATLAB 程序绘制了透射波和反射波的速度和反射系数等波形特征与角频率和入射角的关系图。能量守恒也得到了验证。在介质中不存在旋转、霍尔电流、空隙、粘弹性和扩散的情况下，得出了之前文献中的结果。
{"title":"Reflection and transmission phenomenon of plane waves at the interface of diffusive viscoelastic porous rotating isotropic medium under hall current and nonlocal thermoelastic porous solid","authors":"Farhat Bibi, Hashmat Ali","doi":"10.1177/03093247241259818","DOIUrl":"https://doi.org/10.1177/03093247241259818","url":null,"abstract":"The response of elastic waves upon encountering the boundary between two elastic media is investigated in the present work. Whereas the top medium is thermoelastic isotropic porous, the below medium is thermoelastic rotating porous diffusive. There is an uncoupled transmitted SV-wave propagating through the medium, and the lower medium is rotating with some fixed angular frequency. When the incident wave hits the boundary, it produces four transmitted waves and five coupled quasi-reflected waves. The system is divided into longitudinal and transverse components using the Helmholtz decomposition theorem. Analytical computations of speed and reflection coefficients for transmitted and reflected waves are performed using LS theory. The outcomes are graphically represented for a particular material subject to nonlocal and fractional-order influences. Wave characteristics, such as speed and reflection coefficients for transmitted and reflected waves, are plotted versus angular frequency and angle of incidence using MATLAB programing. The conservation of energy has also been verified. In the absence of rotation, hall current, voids, viscoelasticity, and diffusion in the medium, the previous results in the literature are obtained.","PeriodicalId":516672,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"10 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141919850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-26DOI: 10.1177/03093247241263639
Luiz Antonio Farani de Souza, Lucas Lauer Verdade
Generally, direct time integration procedures are used for solving the equations of motion in transient analysis of structures with large displacements. In this context, we propose an algorithm that combines the α-Generalized implicit integration method with the Potra–Pták two-step iterative scheme. The free Scilab program develops a computer code for the non-linear dynamic analysis of plane frames with large displacements and rotations. The FEM corotational formulation discretizes the structures considering the Euler-Bernoulli beam theory. The null-length connection element described by the axial, translational and rotational stiffnesses simulate the behavior of the beam-column connection. Jacobi’s method and the Scilab’s spec function determine the natural frequencies. The developed program is used for modal and transient dynamic analyses of frame problems available in the literature. The numerical results show that the Potra-Pták scheme obtains approximate solutions with fewer cumulative iterations until convergence and shorter processing time compared to the standard Newton-Raphson scheme. Further-more, the results show that the type of beam-column connection affects the vibratory behavior of the structure as well as the values of its natural frequencies.
{"title":"The α-generalized implicit method associated with Potra–Pták iteration for solving non-linear dynamic problems","authors":"Luiz Antonio Farani de Souza, Lucas Lauer Verdade","doi":"10.1177/03093247241263639","DOIUrl":"https://doi.org/10.1177/03093247241263639","url":null,"abstract":"Generally, direct time integration procedures are used for solving the equations of motion in transient analysis of structures with large displacements. In this context, we propose an algorithm that combines the α-Generalized implicit integration method with the Potra–Pták two-step iterative scheme. The free Scilab program develops a computer code for the non-linear dynamic analysis of plane frames with large displacements and rotations. The FEM corotational formulation discretizes the structures considering the Euler-Bernoulli beam theory. The null-length connection element described by the axial, translational and rotational stiffnesses simulate the behavior of the beam-column connection. Jacobi’s method and the Scilab’s spec function determine the natural frequencies. The developed program is used for modal and transient dynamic analyses of frame problems available in the literature. The numerical results show that the Potra-Pták scheme obtains approximate solutions with fewer cumulative iterations until convergence and shorter processing time compared to the standard Newton-Raphson scheme. Further-more, the results show that the type of beam-column connection affects the vibratory behavior of the structure as well as the values of its natural frequencies.","PeriodicalId":516672,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"51 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-24DOI: 10.1177/03093247241252199
Saurabh Rai, Ankit Gupta
The present paper deals with the development of a dynamic stiffness matrix to evaluate the free vibration response of functionally graded nanoplate (FG-nP) resting on the Winkler-Pasternak elastic foundation. The complete mathematical modeling of the dynamic stiffness matrix for nanostructures is given for the first time. The equation of motion for rectangular FG-nP plates supported on an elastic foundation is derived using Hamilton’s principle in conjunction with nonlocal elasticity theory. The non-local theory is incorporated to account for the size effect in the small-scale plate. The effective material property of the porous FG-nP has been calculated using three recently developed models of porosity. The developed dynamic stiffness matrix is solved using the Wittrick-Williams algorithm to extract the natural frequencies of the FG-nP. The variation of natural frequencies with the change of numerical values, such as nonlocal parameter, aspect ratio, elastic foundation parameters, and porosity volume fraction is analyzed. The validity and accuracy of the results are confirmed through comparison with the available literature. The use of non-local theory in dynamic stiffness analysis is shown to be effective in predicting the natural frequency of the FG-nP on a Winkler-Pasternak elastic foundation, providing new insights into the dynamic behavior of small-scale structures.
{"title":"A novel dynamic stiffness matrix for the nonlocal vibration characteristics of porous functionally graded nanoplates on elastic foundation with small-scale effects","authors":"Saurabh Rai, Ankit Gupta","doi":"10.1177/03093247241252199","DOIUrl":"https://doi.org/10.1177/03093247241252199","url":null,"abstract":"The present paper deals with the development of a dynamic stiffness matrix to evaluate the free vibration response of functionally graded nanoplate (FG-nP) resting on the Winkler-Pasternak elastic foundation. The complete mathematical modeling of the dynamic stiffness matrix for nanostructures is given for the first time. The equation of motion for rectangular FG-nP plates supported on an elastic foundation is derived using Hamilton’s principle in conjunction with nonlocal elasticity theory. The non-local theory is incorporated to account for the size effect in the small-scale plate. The effective material property of the porous FG-nP has been calculated using three recently developed models of porosity. The developed dynamic stiffness matrix is solved using the Wittrick-Williams algorithm to extract the natural frequencies of the FG-nP. The variation of natural frequencies with the change of numerical values, such as nonlocal parameter, aspect ratio, elastic foundation parameters, and porosity volume fraction is analyzed. The validity and accuracy of the results are confirmed through comparison with the available literature. The use of non-local theory in dynamic stiffness analysis is shown to be effective in predicting the natural frequency of the FG-nP on a Winkler-Pasternak elastic foundation, providing new insights into the dynamic behavior of small-scale structures.","PeriodicalId":516672,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"8 38","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141101370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-22DOI: 10.1177/03093247241243109
M. Raddadi, A. Mahdy, A. El-Bary, Khaled Lotfy, M. Allan
This study focuses on investigating the deformation of a one-dimensional elastic nonlocal semiconductor medium. The aim is to understand how the magnetic field and moisture diffusivity affect this deformation. The research aims to analyze the connection between plasma and moisture diffusivity processes in a rotational field, as well as thermo-elastic waves. The study examines the transport process of photo-thermoelasticity while considering the influence of moisture diffusivity. To derive the governing equations of the photo-thermo-elastic medium, Laplace’s transformation technique is used. These equations encompass the carrier density, elastic waves, moisture transport, heat conduction, and constitutive relationships. The fundamental physical parameters in the Laplace domain, such as mechanical stresses, thermal conditions, and plasma boundary conditions, are calculated. Numerical techniques are employed to invert the Laplace transform and obtain complete time-domain solutions for the various physical domains under investigation. The analysis takes into account reference moisture, nonlocality, magnetic field and rotation field. The effects of applied forces on displacement, moisture concentration, carrier density, stress resulting from forces, and temperature distribution are considered through graphical analysis.
{"title":"A rotating magneto-photothermoelastic effect with moisture diffusivity of nonlocal semiconductor medium","authors":"M. Raddadi, A. Mahdy, A. El-Bary, Khaled Lotfy, M. Allan","doi":"10.1177/03093247241243109","DOIUrl":"https://doi.org/10.1177/03093247241243109","url":null,"abstract":"This study focuses on investigating the deformation of a one-dimensional elastic nonlocal semiconductor medium. The aim is to understand how the magnetic field and moisture diffusivity affect this deformation. The research aims to analyze the connection between plasma and moisture diffusivity processes in a rotational field, as well as thermo-elastic waves. The study examines the transport process of photo-thermoelasticity while considering the influence of moisture diffusivity. To derive the governing equations of the photo-thermo-elastic medium, Laplace’s transformation technique is used. These equations encompass the carrier density, elastic waves, moisture transport, heat conduction, and constitutive relationships. The fundamental physical parameters in the Laplace domain, such as mechanical stresses, thermal conditions, and plasma boundary conditions, are calculated. Numerical techniques are employed to invert the Laplace transform and obtain complete time-domain solutions for the various physical domains under investigation. The analysis takes into account reference moisture, nonlocality, magnetic field and rotation field. The effects of applied forces on displacement, moisture concentration, carrier density, stress resulting from forces, and temperature distribution are considered through graphical analysis.","PeriodicalId":516672,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"57 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140677379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This work presents an approach for the automatic modeling and high-efficiency simulation of the mechanical properties of plain-woven composites. For the beam element finite element model, a technical scheme for the automatic modeling of plain-woven fabrics is presented. Considering the constraint relationship between the matrix and the fibers, a method for creating matrix beam elements is proposed. Then, a beam element solver was compiled to simulate the tensile properties of the plain-woven composites. In addition, a method of rendering a three-dimensional model of yarn and the simulation results were presented, and a comparison between real fabric images and modeled fabric structure confirmed that the method proposed in this work could effectively model plain-weave fabric structures. Experimental results showed that the deviations of the tensile modulus and strength were 0.41% and −7.59% respectively, which verified the validity of the beam element model used in this study. Moreover, testing verification of the method used in this study could realize the automatic modeling and simulation of representative cells of plain-woven composites in a few seconds. The above results show that this work offers the potential to handle the efficient calculations of large-scale woven structure models.
{"title":"Research on the automatic modeling and performance prediction of plain-woven composites based on beam elements","authors":"Chang Liu, Hualiang Zhang, Haisheng Chen, Yujie Xu, Yangli Zhu","doi":"10.1177/03093247231212709","DOIUrl":"https://doi.org/10.1177/03093247231212709","url":null,"abstract":"This work presents an approach for the automatic modeling and high-efficiency simulation of the mechanical properties of plain-woven composites. For the beam element finite element model, a technical scheme for the automatic modeling of plain-woven fabrics is presented. Considering the constraint relationship between the matrix and the fibers, a method for creating matrix beam elements is proposed. Then, a beam element solver was compiled to simulate the tensile properties of the plain-woven composites. In addition, a method of rendering a three-dimensional model of yarn and the simulation results were presented, and a comparison between real fabric images and modeled fabric structure confirmed that the method proposed in this work could effectively model plain-weave fabric structures. Experimental results showed that the deviations of the tensile modulus and strength were 0.41% and −7.59% respectively, which verified the validity of the beam element model used in this study. Moreover, testing verification of the method used in this study could realize the automatic modeling and simulation of representative cells of plain-woven composites in a few seconds. The above results show that this work offers the potential to handle the efficient calculations of large-scale woven structure models.","PeriodicalId":516672,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"26 S69","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139640694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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