Pub Date : 2000-03-23DOI: 10.1201/9781420036039.CH27
A. Haji-sheikh, F. Payne, K. J. Hays-Stang
{"title":"On convergence and uniqueness of microscale heat transfer equation","authors":"A. Haji-sheikh, F. Payne, K. J. Hays-Stang","doi":"10.1201/9781420036039.CH27","DOIUrl":"https://doi.org/10.1201/9781420036039.CH27","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126913898","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 : 2000-03-23DOI: 10.1201/9781420036039.CH14
S. G. Ciumasu, D. Vieru
{"title":"Polarization gradient in piezoelectric micropolar elasticity","authors":"S. G. Ciumasu, D. Vieru","doi":"10.1201/9781420036039.CH14","DOIUrl":"https://doi.org/10.1201/9781420036039.CH14","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115243687","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 : 2000-03-23DOI: 10.1201/9781420036039.ch56
D. Ursuțiu, A. Duta-Capra, D. Nanu, P. Cotfas
{"title":"Non-ideal liquid solutions modeling by means of integral methods","authors":"D. Ursuțiu, A. Duta-Capra, D. Nanu, P. Cotfas","doi":"10.1201/9781420036039.ch56","DOIUrl":"https://doi.org/10.1201/9781420036039.ch56","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116621457","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 : 2000-03-23DOI: 10.1201/9781420036039.CH58
A. Verma, P. Harris, R. Chakrabarti
{"title":"Modeling the motion of an underwater explosion bubble","authors":"A. Verma, P. Harris, R. Chakrabarti","doi":"10.1201/9781420036039.CH58","DOIUrl":"https://doi.org/10.1201/9781420036039.CH58","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130726204","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 : 2000-03-23DOI: 10.1201/9781420036039.ch13
I. Chudinovich, C. Constanda
{"title":"Time-dependent bending of plates with transverse shear deformation","authors":"I. Chudinovich, C. Constanda","doi":"10.1201/9781420036039.ch13","DOIUrl":"https://doi.org/10.1201/9781420036039.ch13","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132106339","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 : 2000-03-23DOI: 10.1201/9781420036039.CH21
P. Djondjorov, V. Vassilev
In the present work we study acceleration waves in plate-like bodies using the balance laws for the time-dependent von Karman equations presented in [P. A. Djondjorov and V. M. Vassilev, Conservation Laws and Group-Invariant Solutions of the von Karman Equations, Int. J. Nonlinear Mech. 31 (1), pp. 73-87, (1986)]. Two of these balance laws correspond to the time-dependent von Karman equations themselves. They are used to define acceleration waves in thin isotropic elastic plates as discontinuity solutions with finite jumps of second derivatives of the displacement field at a certain curve - the wave front. These two balance laws lead through Hadamard's lemma and Kotchin's theorem to a set of jump conditions on the wave front. Similarly, the other balance laws lead to additional and independent jump conditions on the curve of discontinuity. Several examples are given to illustrate the effect of involving jump conditions of that kind in analysis of acceleration waves in plates. The examples are composed on the basis of three families of group-invariant solutions to the time-dependent von Karman equations. They present three kinds of waveforms pertaining to the class of the so-called relatively undistorded progressive waves. We analyze the propagation of this special kind of acceleration waves into a known state of plate motion.
在本工作中，我们研究了板状物体中的加速度波，使用了[P. 11]中提出的时变冯·卡门方程的平衡定律。A. Djondjorov和V. M. Vassilev, von Karman方程的守恒律和群不变解，[j]。[j].非线性力学，31 (1)，pp. 73-87，(1986)。其中两个平衡定律对应于时变冯·卡门方程本身。将各向同性弹性薄板中的加速度波定义为某一曲线-波前位移场二阶导数的有限跳变的不连续解。这两个平衡定律通过Hadamard引理和Kotchin定理推导出波前的一组跳跃条件。同样，其他平衡律在不连续曲线上也会产生附加的、独立的跳跃条件。文中举例说明了在分析板内加速度波时加入这种跳跃条件的影响。这些例子是基于时变von Karman方程的三族群不变解组成的。他们提出了三种属于所谓的相对不失真渐进波的波形。我们分析了这种特殊的加速度波在已知的板块运动状态下的传播。
{"title":"Acceleration waves in von Kármán plate theory","authors":"P. Djondjorov, V. Vassilev","doi":"10.1201/9781420036039.CH21","DOIUrl":"https://doi.org/10.1201/9781420036039.CH21","url":null,"abstract":"In the present work we study acceleration waves in plate-like bodies using the balance laws for the time-dependent von Karman equations presented in [P. A. Djondjorov and V. M. Vassilev, Conservation Laws and Group-Invariant Solutions of the von Karman Equations, Int. J. Nonlinear Mech. 31 (1), pp. 73-87, (1986)]. Two of these balance laws correspond to the time-dependent von Karman equations themselves. They are used to define acceleration waves in thin isotropic elastic plates as discontinuity solutions with finite jumps of second derivatives of the displacement field at a certain curve - the wave front. These two balance laws lead through Hadamard's lemma and Kotchin's theorem to a set of jump conditions on the wave front. Similarly, the other balance laws lead to additional and independent jump conditions on the curve of discontinuity. Several examples are given to illustrate the effect of involving jump conditions of that kind in analysis of acceleration waves in plates. The examples are composed on the basis of three families of group-invariant solutions to the time-dependent von Karman equations. They present three kinds of waveforms pertaining to the class of the so-called relatively undistorded progressive waves. We analyze the propagation of this special kind of acceleration waves into a known state of plate motion.","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133376497","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 : 2000-03-23DOI: 10.1201/9781420036039.CH45
F. Payne, K. Payne
{"title":"Linear and sublinear Tricomi via DFI","authors":"F. Payne, K. Payne","doi":"10.1201/9781420036039.CH45","DOIUrl":"https://doi.org/10.1201/9781420036039.CH45","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126362739","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 : 2000-03-23DOI: 10.1201/9781420036039.CH22
M. Eissa
{"title":"Dynamics and resonance of a nonlinear mechanical oscillator subjected to parametric and external excitation","authors":"M. Eissa","doi":"10.1201/9781420036039.CH22","DOIUrl":"https://doi.org/10.1201/9781420036039.CH22","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"191 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129963893","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 : 2000-03-23DOI: 10.1201/9781420036039.CH5
C. Aviles‐Ramos, K. T. Harris, A. Haji-sheikh
{"title":"A hybrid root finder","authors":"C. Aviles‐Ramos, K. T. Harris, A. Haji-sheikh","doi":"10.1201/9781420036039.CH5","DOIUrl":"https://doi.org/10.1201/9781420036039.CH5","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128292867","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 : 2000-03-23DOI: 10.1201/9781420036039.ch24
M. Fisackerly, B. McCartin
{"title":"A two-dimensional numerical model of chemotaxis","authors":"M. Fisackerly, B. McCartin","doi":"10.1201/9781420036039.ch24","DOIUrl":"https://doi.org/10.1201/9781420036039.ch24","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"10 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134298624","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：