Mechanics of Solids最新文献

Thermal Post-Buckling of Porous Thin Plates Following a Power and Sigmoid Distribution Law Based on an Elastic Foundation 基于弹性地基的多孔薄板热后屈曲服从幂和s型分布规律

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424604592

A. Fomekong Tanechue, F. P. Ewolo Ngak, G. E. Ntamack, B. Djeumako

{"title":"Thermal Post-Buckling of Porous Thin Plates Following a Power and Sigmoid Distribution Law Based on an Elastic Foundation","authors":"A. Fomekong Tanechue, F. P. Ewolo Ngak, G. E. Ntamack, B. Djeumako","doi":"10.1134/S0025654424604592","DOIUrl":"10.1134/S0025654424604592","url":null,"abstract":"In this study, a new analytical model based on an nth-order shear deformation theory formulation is used to analyse the post buckling of porous FGM plates resting on an elastic Winkler–Pasternak type foundation. The model presented contains a smaller number of variables than other higher-order theories in the literature. In addition, with this model, the effective properties of the structure are calculated as a function of the even and odd distributions of the porosity, and these distributions follow the power and sigmoid laws. The behaviour of the elastic foundation is governed by the constant Winkler parameter, which represents the reaction of the elastic springs, and the Pasternak parameter in the form of a shear layer of the foundation. The non-linear equilibrium equations are based on Von Karman’s theorem, the principle of virtual work and the equilibrium criterion. To solve these equations, approximate solutions and boundary conditions are considered. The accuracy of the nth-order HSDT model used takes into account the uniform, linear and non-linear variation of temperature across the thickness. We obtained several results for the evolution of the critical temperature: as a function of the amplitude/height ratio, as a function of the porosity and as a function of the foundations. The relative error between our results and those in the literature is generally less than 5%.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"2440 - 2469"},"PeriodicalIF":0.6,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Scale Effect in Modeling of Mechanical Processes in the Vicinity of a Borhole on a True Triaxial Loading Setup 真三轴加载条件下钻孔附近机械过程建模中的尺度效应

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424603318

V. I. Karev, Yu. F. Kovalenko

{"title":"Scale Effect in Modeling of Mechanical Processes in the Vicinity of a Borhole on a True Triaxial Loading Setup","authors":"V. I. Karev, Yu. F. Kovalenko","doi":"10.1134/S0025654424603318","DOIUrl":"10.1134/S0025654424603318","url":null,"abstract":"One of the main problems when conducting laboratory tests of rock specimens aimed at determining their mechanical and strength properties is to transfer the test results of relatively small specimens to sufficiently large areas of a rock massif, often with a complex structure. This is due to the fact that generalized numerical indicators characterizing the degree of influence of structural heterogeneities of various sizes on the deformation and destruction of rocks and massifs are not yet available. In addition to heterogeneity, other factors also affect the processes under study, such as the stress state of the massif, the presence of geological disturbances, macrofractures, etc. These issues are studied in this paper based on a comparison of the results of experiments performed on the Triaxial Independent Loading Test System of the Institute of Problems in Vechanics of the Russian Academy of Sciences using the “hollow cylinder” scheme on specimens with a central hole of 10 and 20 mm in diameter and physical modeling of deformation processes in the vicinity of wells with a decrease in pressure at their bottomhole for reservoir rocks of the Prirazlomnoye oil field.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"1940 - 1948"},"PeriodicalIF":0.6,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

T-Stress in an Orthotropic Strip with a Central Semi-Infinite Crack Loaded Far from the Crack Tip 带中心半无限裂纹的正交各向异性带材在远离裂纹尖端处受力时的t应力

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424603240

K. B. Ustinov

引用次数: 0

On the Maxwell Representation of the Gravitational Potential for a Symmetric Body 关于对称物体引力势的麦克斯韦表示

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424602891

E. A. Nikonova

引用次数: 0

The Free Vibration Characteristics of Variable Cross-Section Beams under Different Profiles 变截面梁在不同截面下的自由振动特性

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424604269

Feng Kai, Wang Ling

{"title":"The Free Vibration Characteristics of Variable Cross-Section Beams under Different Profiles","authors":"Feng Kai, Wang Ling","doi":"10.1134/S0025654424604269","DOIUrl":"10.1134/S0025654424604269","url":null,"abstract":"Based on Euler beam theory and Hamilton’s principle, the free vibration control equation for the variable cross-section beam was established. Galerkin discretization and eigenvalue methods were used to solve the natural frequencies of beams under simply supported-simply supported (SS) and simply-clamped supported (SC) boundary conditions. The vibration characteristics of beams with annular, rectangular frame and rectangular cross-section at different cross-sectional parameters (taper, thickness, and aspect ratio) are explored. The calculation example shows that the natural frequency of the beam is closely related to changes in taper. Especially for rectangular cross-section, the change in taper in the height direction of the beam has a large effect on the frequency, while the change in taper in the width direction has a smaller effect. Increasing the outer thickness of the annular cross-section beam has a different effect on the beam’s natural frequency than the inner thickness, while increasing the thickness of the rectangular frame cross-section beams will result in a decrease in the natural frequency of the beams. Increasing the aspect ratio of a rectangular variable cross-section section beam increases the natural frequency of the beam. Under the same cross-sectional area, the rectangular frame cross-section beam frequencies are higher than other cross-section beams.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"2617 - 2627"},"PeriodicalIF":0.6,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic Responses and Reliability Analysis of a Parallel Mechanism with Lubrication Revolute Clearance Joints and Uncertain Parameters 含不确定参数润滑旋转间隙并联机构动态响应及可靠性分析

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424604361

Xiulong Chen, Chengsi Ning, Yonghao Jia

{"title":"Dynamic Responses and Reliability Analysis of a Parallel Mechanism with Lubrication Revolute Clearance Joints and Uncertain Parameters","authors":"Xiulong Chen, Chengsi Ning, Yonghao Jia","doi":"10.1134/S0025654424604361","DOIUrl":"10.1134/S0025654424604361","url":null,"abstract":"Joint clearances and uncertain parameters of a parallel mechanism will cause the error between the actual dynamic response and the desired dynamic response, leading to a dynamic reliability problem. Currently, the reliability analysis of mechanisms mainly focuses on mechanism with clearances or with uncertain parameters, very few involve considering both clearances and uncertainty parameters simultaneously. The main purpose of this article is to propose a dynamic reliability analysis method of a parallel mechanism with revolute clearance and uncertainty parameters. The dynamic reliability analysis of a parallel mechanism with lubrication revolute clearance joints and uncertain parameters is studied in this paper. The 3-RRPaR spatial parallel mechanism is taken as an example, lubrication revolute clearance joints model is established, and the dynamic model of mechanism with lubrication revolute clearance joints is derived. The dynamic reliability model of mechanism with lubrication revolute clearance joints and uncertain parameters is developed. The effects of various random uncertain parameters on the dynamic reliability of mechanism with lubrication revolute clearance joints are analyzed. This can not only provide a new method for dynamic response reliability analysis of mechanism with lubrication clearances and uncertain parameters, but also lay the foundation for dynamic response and reliability optimization design.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"2535 - 2555"},"PeriodicalIF":0.6,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On Forced Oscillations of a Double Mathematical Pendulum 关于双数学摆的强迫振荡

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424603288

A. G. Petrov

引用次数: 0

Mixed-Mode Fracture Criterion in Alumina/Zirconia FGMs Using Finite Element Analysis 基于有限元分析的氧化铝/氧化锆fgm混合模式断裂准则

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424604622

A. Boulenouar, M. A. Bouchelarm, M. Chafi, N. Benseddiq

{"title":"Mixed-Mode Fracture Criterion in Alumina/Zirconia FGMs Using Finite Element Analysis","authors":"A. Boulenouar, M. A. Bouchelarm, M. Chafi, N. Benseddiq","doi":"10.1134/S0025654424604622","DOIUrl":"10.1134/S0025654424604622","url":null,"abstract":"This study examines the mixed-mode fracture criterion for Alumina/Zirconia functionally graded materials (FGMs), based on the concept of the equivalent stress intensity factors Keq. For this purpose, a computational algorithm is developed and incorporated into a finite element software, using a combination of five methods (FE method, Crack box technique CBT, Displacement extrapolation technique DET, Crack propagation criteria and Tanaka’s approach), in order to then determine the critical loading necessary to control the risk of crack propagation, as well as the determination of the different parameters (Stress intensity factors SIFs, bifurcation angle and T-stress). The mechanical properties of the Alumina/Zirconia FGM are supposed to change gradually through the cracked plate width, according to an exponential law (E-FGM). The continuous variation in material properties for Alumina/Zirconia FGMs is addressed by defining these properties at the centroid of each finite element. The proposed fracture criterion was identified according to the geometry of the specimen, the loading conditions and the mechanical properties of the FGM material. The frontier of crack propagation given by the proposed criterion is well defined and excellent results are obtained under pure mode-I and mixed-mode loadings.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"2407 - 2423"},"PeriodicalIF":0.6,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Non-Semisimple Degeneracy of Lamb Waves Lamb波的非半单简并

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424603458

A. I. Karakozova, S. V. Kuznetsov

引用次数: 0

Non-Dimensional Coupled Flexural-Torsional Buckling Analysis of the Thin-Walled Columns with Asymmetric Open Cross-Sections and its Application to the Critical Buckling Load Optimization 非对称开截面薄壁柱无量纲弯曲-扭转耦合屈曲分析及其在临界屈曲荷载优化中的应用

IF 0.6 4区工程技术

Mechanics of Solids Pub Date : 2024-12-28 DOI: 10.1134/S0025654424604579

V. Alkan

{"title":"Non-Dimensional Coupled Flexural-Torsional Buckling Analysis of the Thin-Walled Columns with Asymmetric Open Cross-Sections and its Application to the Critical Buckling Load Optimization","authors":"V. Alkan","doi":"10.1134/S0025654424604579","DOIUrl":"10.1134/S0025654424604579","url":null,"abstract":"This study presents coupled flexural-torsional buckling analysis of the thin-walled columns with nonsymmetric open cross-sections in dimensionless and exact man- ner. Transfer matrix method coupled with iterative eigenvalue solution procedure is used to calculate nondimensional buckling loads of the thin-walled columns. For all end conditions considered, closed-form solutions are also presented for the comparison. The related tables show that, to some extent, all results are in good agreement. However, the closed-form solutions available in literature do not completely capture the buckling loads obtained using the transfer matrix method for fixed-fixed, fixed-pinned, and fixed-free end conditions. Therefore, there is a need to find new expressions for buckling parameter to calculate analytically buckling loads. This is carried out by using the Euler’s theory of columns for doubly symmetric cross sections. Through using these expressions, a good matching between the results obtained from the transfer matrix method and closed-form solutions is provided. On the other hand, as a case study, nondimensional solution procedure is applied to the optimization of critical buckling load of the columns. Nondimensionalization is a useful procedure for optimization such that it has led to a naturally scaled optimization model. Three column configurations with different numbers of segments in the longitudinal direction were considered and the maximum dimensionless critical buckling load without constraint violations is attained for the five-segmented column and it is 7.2, which represents 48.0415% gain.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"2470 - 2491"},"PeriodicalIF":0.6,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0