On Computational Asymptotic Analysis of General Sensitive Shells of Revolution

IF 12.2 1区 工程技术 Q1 MECHANICS Applied Mechanics Reviews Pub Date : 2022-08-29 DOI:10.3390/applmech3030062
H. Hakula
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引用次数: 2

Abstract

Recent advances in drug delivery technology have led to renewed interest in shell structures with mixed kinematical constraints, one end clamped, another one free, the so-called sensitive shells. It is known that elliptic sensitive shell problems may not always satisfy the Shapiro–Lopatinsky conditions and hence are not necessarily well-posed. The new observation is that for shells of revolution if the profile function has regions of elliptic Gaussian curvature, that region will dictate the overall response of the structure under concentrated loading. Despite the monotonically increasing total energy as the thickness tends asymptotically to zero, these shells are not in a pure bending state. The numerical results have been verified using equivalent lower-dimensional solutions.
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一般旋转敏感壳的计算渐近分析
药物输送技术的最新进展重新引起了人们对具有混合运动学约束的壳结构的兴趣,一端夹住,另一端自由,即所谓的敏感壳。众所周知,椭圆型敏感壳问题可能并不总是满足Shapiro-Lopatinsky条件,因此不一定是适定的。新的观察结果是,对于旋转壳,如果剖面函数具有椭圆高斯曲率区域,该区域将决定结构在集中载荷下的整体响应。尽管总能量随厚度渐近趋于零而单调增加,但这些壳层并非处于纯弯曲状态。用等效低维解对数值结果进行了验证。
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来源期刊
CiteScore
28.20
自引率
0.70%
发文量
13
审稿时长
>12 weeks
期刊介绍: Applied Mechanics Reviews (AMR) is an international review journal that serves as a premier venue for dissemination of material across all subdisciplines of applied mechanics and engineering science, including fluid and solid mechanics, heat transfer, dynamics and vibration, and applications.AMR provides an archival repository for state-of-the-art and retrospective survey articles and reviews of research areas and curricular developments. The journal invites commentary on research and education policy in different countries. The journal also invites original tutorial and educational material in applied mechanics targeting non-specialist audiences, including undergraduate and K-12 students.
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