• Smart Structures and Systems
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• 제18권1호
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• pp.139-154
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• 2016

This paper is concerned with the dynamics of hyperelastic solids and structures. We seek for a smart control actuation that produces a desired (prescribed) displacement field in the presence of transient imposed forces. In the literature, this problem is denoted as displacement tracking, or also as shape morphing problem. One talks about shape control, when the displacements to be tracked do vanish. In the present paper, it is assumed that the control actuation is provided by imposed eigenstrains, e.g., by the electric field in piezoelectric actuators, or by thermal actuators, or via analogous physical effects, such as magneto-striction or pre-stress. Structures with a controlled eigenstrain-type actuation belong to the class of smart structures. The action of the eigenstrains can be conveniently characterized by actuation stresses. Our theoretical derivations are performed in the framework of the theory of small incremental dynamic deformations superimposed upon a statically pre-deformed configuration of a hyperelastic solid or structure. We particularly ask for a distribution of incremental actuation stresses, such that the incremental displacements follow exactly a prescribed trajectory field, despite the imposed incremental forces are present. An exact solution of this problem is presented under the assumption that the actuation stresses can be tailored freely and applied everywhere within the body. Extending a Neumann-type solution strategy, it is shown that the actuation stresses due to the distributed control eigenstrains must satisfy certain quasi-static equilibrium conditions, where auxiliary body-forces and auxiliary surface tractions are to be taken into account. The latter auxiliary loading can be directly computed from the imposed forces and from the desired displacement field to be tracked. Hence, despite the problem is a dynamic one, a straightforward computation of proper actuator distributions can be obtained in the framework of quasi-static equilibrium conditions. Necessary conditions for the functioning of this concept are presented. Particularly, it must be required that the intermediate configuration is infinitesimally superstable. Previous results of our group for the case of shape control and displacement tracking in linear elastic structures are included as special cases. The high potential of the solution is demonstrated via Finite Element computations for an irregularly shaped four-corner plate in a state of plain strain.

• 대한기계학회논문집A
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• 제25권4호
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• pp.619-628
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• 2001

A viscoelastic constitutive equation of rubber is proposed under small oscillatory load superimposed on large static deformation. The proposed model is derived through linearization of Simos nonlinear viscoelastic constitutive model and reference configuration transformation. Statically pre-deformed state is used as reference configuration. The model is extended to a generalized viscoelastic constitutive equation including widely-used Mormans model. Static deformation correction factor is introduced to consider the influence of pre-strain on the relaxation function. The model is tested for dynamic behavior of rubbers with different carbon black fractions. It is shown that the constitutive equation with static deformation correction factor agrees well with test results.

• Journal of Chest Surgery
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• 제25권6호
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• pp.621-629
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• 1992

Thirteen sternocosal elevations for pectus excavatum were performed on twelve patients between Jan 1989 and Sep. 1991. Eleven among the twleve patients were male. The subjects ranged in age from 2 years to 20 years, with a mean age of 8.33 years[SD=4.80 years], Eleven patients were below 15 years. The early postoperative evaluation by Humphreys` criteria except keloid formation was excellent in all the patients. The lower vertebral index[LVI], configuration index[CI], and upper vertebral index[UVI] were measured on the lateral chest roentgenogram. The LVI and CI improved significantly from 0.31$\pm$0.06 and 1.14$\pm$0.06 preoperatively to 0.25$\pm$0.03 and 0.78$\pm$1.10 postoperatively. The degrees of depression, flatness, and asymmetry and funnel index were measured at the most deformed portion on the computed tomgram performed pre- and postoperatively. The degrees of depression and funnel index improved significantly from 3.32$\pm$0.73 and 5.77$\pm$1. 54 preoperatively to 1.85$\pm$0.14 and 2.96$\pm$0.43 postoperatively, There was no significant change in the degree of flatness however, Six postoperative morbidities occurred in five patients Three were superficial wound infection, two hemopneumothorax, and one reoeration, Reoperation was performed due to forward displacement of the distal sternum below the posterior sternotomy, The findings of this study suggest that the sternocostal elevation is an excellent primary method for the pectus excavatum of children and young adolescents.

• Restorative Dentistry and Endodontics
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• 제30권4호
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• pp.303-311
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• 2005

본 연구는 치근첨부위의 급한 만곡을 가진 근관에서 엔진구동형 니켈-타이타늄기구를 이용해 근관 성형시 근관형태 변화에 대한 비교 연구를 함으로써 어떤 기구가 근관의 본래 형태를 잘 유지하는가를 구명하기 위하여 시행되었다. $\sharp$15 finger spreader를 이용해 만곡된 근관의 주형을 형성하고 epoxy resin으로 모형 근관을 갖는 레진 블록 96개를 제작하였다. 모형 근관은 만곡의 반경이 1.5mm, 3.0mm, 4.0mm 및 6.0mm를 가지며, 근관의 만곡도는 90도로 제작하였다. 엔진구동형 니켈-타이탸늄 파일로 ProFile, ProTaper, Hero 642 그리고 $K^3$를 사용하였으며 크라운다운법을 이용하여 제조회사의 지시에 따라 300rpm으로 근관을 성형하였다 시술 전$\cdot$후 사진을 디지털 카메라를 이용하여 촬영한 후, 이미지분석기를 이용하여 근관의 변화량을 측정하였다. 근관의 만곡을 따라서 치근첨으로부터 1mm간격으로 계측점을 총 9부분을 설정하여 원래의 근관형태가 유지되는 정도를 측정하였다 각 계측점 에서 근관의 중심축의 변위량, 근관의 폭의 변화량을 측정하였다. 계측점에서 각 기구들간의 유의성은 Kruskal-Wallis 분석법을 이용하였고 기구간에 검정은 Mann-Whitney U-test분석법을 이용한 결과 급격히 만곡된 근관 성형시에 반경 1.5mm의 만곡에서는 엔진구동형 니켈-타이타늄 파일을 사용시 주의를 요하며, 반경 3.0mm 이상의 만곡에서는 다른 엔진구동형 니켈-타이타늄 파일보다는 ProFile의 사용이 권고된다.