Mathematics and Mechanics of Solids最新文献_第10页

Plane deformations of the Varga material Varga材料的平面变形

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Mathematics and Mechanics of Solids Pub Date : 2023-10-11 DOI: 10.1177/10812865231199460

Daniel J Arrigo, Travis C Chism

引用次数: 1

A theoretical model for power generation via liquid crystal elastomers 液晶弹性体发电的理论模型

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Mathematics and Mechanics of Solids Pub Date : 2023-10-11 DOI: 10.1177/10812865231193735

L Angela Mihai

引用次数: 0

Professor A.P.S. (Patrick) Selvadurai (1942–2023) A.P.S. (Patrick) Selvadurai教授(1942-2023)

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Mathematics and Mechanics of Solids Pub Date : 2023-10-09 DOI: 10.1177/10812865231202871

Peter Schiavone

引用次数: 0

Remarks on bifurcation of an inflated and extended swellable isotropic tube 膨胀和扩展的可膨胀各向同性管的分岔问题

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Mathematics and Mechanics of Solids Pub Date : 2023-10-09 DOI: 10.1177/10812865231190845

Soheil Moradalizadeh, Heiko Topol, Hasan Demirkoparan, Andrey Melnikov, Bernd Markert, José Merodio

{"title":"Remarks on bifurcation of an inflated and extended swellable isotropic tube","authors":"Soheil Moradalizadeh, Heiko Topol, Hasan Demirkoparan, Andrey Melnikov, Bernd Markert, José Merodio","doi":"10.1177/10812865231190845","DOIUrl":"https://doi.org/10.1177/10812865231190845","url":null,"abstract":"We consider a tubular membrane whose mechanical behavior is defined by a strain energy density function that combines the neo-Hookean model with the Demiray model. Both, the neo-Hookean and the Demiray models are isotropic material models, which found their application in the modeling of the mechanical behavior of biological soft tissue. This tubular membrane is subjected to an inner pressure, an axial stretch, and a change in the material volume due to swelling or deswelling. The interplay between the cylinder geometry and the loading conditions and different instability modes, namely, bulging bifurcation, bending bifurcation, and prismatic bifurcation, are studied. It is shown that a change in the material volume has a strong effect on the occurrence of these bifurcation modes because a change in the material volume may stabilize the cylinder against a particular bifurcation mode and may trigger another bifurcation mode at the same time. Despite the restriction to isotropic material behavior, this article shows that the material response to pressure, axial stretch, and material volume change is quite complex.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135094260","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

Contact behaviors involving a nanobeam with surface effect by a rigid indenter 具有表面效应的纳米梁与刚性压头的接触行为

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Mathematics and Mechanics of Solids Pub Date : 2023-10-08 DOI: 10.1177/10812865231193697

Liyuan Wang, Hongmei Wu, Zhiying Ou

{"title":"Contact behaviors involving a nanobeam with surface effect by a rigid indenter","authors":"Liyuan Wang, Hongmei Wu, Zhiying Ou","doi":"10.1177/10812865231193697","DOIUrl":"https://doi.org/10.1177/10812865231193697","url":null,"abstract":"In this study, we present a novel surface model that utilizes surface energy density to predict the surface effect in nanobeam contact problems. To address the issue of a finite-length elastic nanobeam being indented by a rigid cylindrical indenter, we propose an equivalent substitution method. This method allows us to formulate analytical relations between the load and contact half-width for two different boundary cases. The explicit expressions of the contact-zone width, the pressure distribution in the contact zone, the deflection outside the contact zone, and the load–displacement relation are obtained for the nanobeam with surface effect and are compared with classical results in detail. The results show that the influence of the surface effect is very significant for nanobeam contact behavior, especially when the half-width of the contact zone increases and the contact zone becomes two independent symmetric strips. It is also found that the length-height ratio of nanobeam and the end support conditions have a fairly obvious effect on the normalized pressure distribution, which deviates significantly from the one predicted by the classical results due to the surface effect. However, for a given beam length and indenter radius, the ratio of the width of the contact zone to the beam thickness is almost constant, independent of the indenter load and beam boundary conditions. Meanwhile, the model predicts that the contact pressure distribution after the normalization of the average indentation pressure is almost independent of the indentation load and beam boundary conditions, but obviously depends on the surface effect parameters. The present method and result should be helpful not only to the measurement of mechanical properties of the indentation nanobeam but also to the design of the nanobeam-based devices.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135199987","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

A model for residually stressed viscoelastic bodies and its application to some boundary value problems 残余应力粘弹模型及其在边值问题中的应用

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Mathematics and Mechanics of Solids Pub Date : 2023-10-07 DOI: 10.1177/10812865231189807

Soumya Mukherjee, Parag Ravindran

{"title":"A model for residually stressed viscoelastic bodies and its application to some boundary value problems","authors":"Soumya Mukherjee, Parag Ravindran","doi":"10.1177/10812865231189807","DOIUrl":"https://doi.org/10.1177/10812865231189807","url":null,"abstract":"A model for residually stressed viscoelastic bodies undergoing finite deformations is developed and applied to the study of time-dependent responses of spheres and cylinders to various stress and strain controlled tests. An approach based on the notion of natural configurations is employed. An appropriate free energy function is used, and a suitable dissipation function is adopted to obtain a constitutive model. This constitutive model is applied to the study of different boundary value problems of thick spheres and cylinders. The responses to various strain controlled tests are investigated, which includes the stress-relaxation test and a test for a time-dependent inflation–deflation cycle. Also, the response to creep test and step-stress test in thick viscoelastic spheres is investigated. Furthermore, the stretch-controlled responses of residually stressed viscoelastic cylinders to pure torsion and axial stretch are studied. Pure torsion involves an axial extension or compression known as the Poynting effect. The Poynting effect in residually stressed viscoelastic bodies, which does not appear to be studied in the literature, is investigated in detail here. It is noted that the magnitude of the angle of twist has a significant influence (sometimes involving a change of sign) on the observed Poynting effect.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135253560","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: 1

Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model 基于云模型的不确定荷载下类桁架连续体结构鲁棒拓扑优化

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Mathematics and Mechanics of Solids Pub Date : 2023-10-06 DOI: 10.1177/10812865231196512

Xinze Guo, Kemin Zhou, Shunyi Shi

引用次数: 0

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials 功能梯度磁-电弹性双材料孔口裂纹的动态断裂行为

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Mathematics and Mechanics of Solids Pub Date : 2023-10-04 DOI: 10.1177/10812865231193703

Ni An, Yu Chen, Jing Zhang, Tian-shu Song

{"title":"Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials","authors":"Ni An, Yu Chen, Jing Zhang, Tian-shu Song","doi":"10.1177/10812865231193703","DOIUrl":"https://doi.org/10.1177/10812865231193703","url":null,"abstract":"In this article, the dynamic fracture behavior of hole-initiated cracks in functionally graded magneto-electro-elastic (FGMEE) bi-materials with exponential variation is studied by Green’s function method, and SH-wave is considered as an external load acting on the bi-materials. The mechanical model of the cracks is constructed through interface-conjunction and crack-deviation techniques, thereby simplifying the crack problem to solving a series of the first kind of Fredholm’s integral equations, from which the dynamic stress intensity factor (DSIF) at the crack tips is expressed. Numerical results clarified the factors that affect the DSIF, including wave number, incident angle, the geometry of the defect, and the gradient of the bi-materials. The accuracy of the present methods is examined by comparing the obtained results with the reference solutions. Compared with previous traditional numerical and analytical methods, the methods proposed in this paper are relatively more effective and applicable, and provide a new perspective for studying the fracture problems of FGMEE materials with more complex defects in practical engineering.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135591802","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

Effective properties of multi-laminated micropolar composites with Fibonacci and random structures 具有斐波那契和随机结构的多层微极性复合材料的有效性能

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Mathematics and Mechanics of Solids Pub Date : 2023-10-04 DOI: 10.1177/10812865231191733

Yoanh Espinosa-Almeyda, David Guinovart-Sanjuán, Reinaldo Rodríguez-Ramos, Héctor Camacho-Montes, Panters Rodríguez-Bermúdez

{"title":"Effective properties of multi-laminated micropolar composites with Fibonacci and random structures","authors":"Yoanh Espinosa-Almeyda, David Guinovart-Sanjuán, Reinaldo Rodríguez-Ramos, Héctor Camacho-Montes, Panters Rodríguez-Bermúdez","doi":"10.1177/10812865231191733","DOIUrl":"https://doi.org/10.1177/10812865231191733","url":null,"abstract":"In this work, the two-scale asymptotic homogenization method (AHM) is developed to describe the effective behavior of multi-laminated elastic micropolar composites with Fibonacci and random structure under perfect contact conditions at the interfaces. The local problem statements over the periodic cell [Formula: see text] are presented, and the corresponding effective stiffness and torque properties are reported. The transversal cross-section of the periodic cell [Formula: see text] is characterized by a laminated structure where the pattern for the layers follows two distinct configurations: (a) a Fibonacci arrangement, and (b) a random sequence focused on the probabilistic binomial function. The non-null effective properties of multi-laminated Cosserat elastic composites with isotropic centro-symmetric constituents are listed. Numerical results for multi-laminated elastic micropolar composites with both types of structures and centro-symmetric isotropic constituents are illustrated and discussed. The overall effective behavior for both cases converges to specific effective values of periodic structures as the number of layers increases.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135645069","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

About the number of hinges at failure of semicircular and pointed masonry arches 关于半圆拱和尖拱失效时铰的数目

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Mathematics and Mechanics of Solids Pub Date : 2023-09-30 DOI: 10.1177/10812865231196796

András A Sipos

引用次数: 0