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Size-dependent analysis of functionally graded ultra-thin films

  • Shaat, M.;Mahmoud, F.F.;Alshorbagy, A.E.;Alieldin, S.S.;Meletis, E.I.
    • Structural Engineering and Mechanics
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    • v.44 no.4
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    • pp.431-448
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    • 2012
  • In this paper, the first-order shear deformation theory (FSDT) (Mindlin) for continuum incorporating surface energy is exploited to study the static behavior of ultra-thin functionally graded (FG) plates. The size-dependent mechanical response is very important while the plate thickness reduces to micro/nano scales. Bulk stresses on the surfaces are required to satisfy the surface balance conditions involving surface stresses. Unlike the classical continuum plate models, the bulk transverse normal stress is preserved here. By incorporating the surface energies into the principle of minimum potential energy, a series of continuum governing differential equations which include intrinsic length scales are derived. The modifications over the classical continuum stiffness are also obtained. To illustrate the application of the theory, simply supported micro/nano scaled rectangular films subjected to a transverse mechanical load are investigated. Numerical examples are presented to present the effects of surface energies on the behavior of functionally graded (FG) film, whose effective elastic moduli of its bulk material are represented by the simple power law. The proposed model is then used for a comparison between the continuum analysis of FG ultra-thin plates with and without incorporating surface effects. Also, the transverse shear strain effect is studied by a comparison between the FG plate behavior based on Kirchhoff and Mindlin assumptions. In our analysis the residual surface tension under unstrained conditions and the surface Lame constants are expected to be the same for the upper and lower surfaces of the FG plate. The proposed model is verified by previous work.

Ultrasonographic evaluation of pennation angle in canine tibialis cranialis muscle in South Korea: an observational study

  • Jaehwan Kim;Tae Sung Hwang;Hee Chun Lee
    • Korean Journal of Veterinary Research
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    • v.64 no.2
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    • pp.14.1-14.6
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    • 2024
  • In human, ultrasonography is used to measure the pennation angle in various muscles to identify muscle functions such as force production, and to study alterations of the pennation angle during muscle contraction, hypertrophy, and atrophy. However, assessments of the pennation angle have not yet been conducted in dogs. This study aims to assess the normal pennation angle of the tibialis cranialis muscle in dogs using ultrasound and to detect changes in this angle in dogs with muscular atrophy. Sixty-eight healthy dogs were examined to establish normal values, while 12 ataxic and 12 lame dogs with suspected hindlimb muscle atrophy were also included. The pennation angle was measured using ultrasound at the midpoint between the proximal end of the tibia and the malleolus, measuring the angle between the muscle bundle and the deep aponeurosis. To confirm the significance between the 5 breeds and to identify a difference between normal and atrophied muscles, statistical analysis was conducted. The study found no significant difference in pennation angle between breeds, with mean values (± standard deviation) of 4.97° (± 1.88) in neutral, 7.25° (± 2.68) in flexion, and 3.31° (± 1.33) in extension positions. Decrease of the pennation angle was identified in muscle atrophy and the flexion position was determined to be the most appropriate for pennation angle measurement of tibialis cranialis muscle. We recommend considering the pennation angle as a valuable indicator of muscle health in dogs, as it demonstrates significant potential for diagnosing and monitoring muscular conditions.

A CLINICAL STUDY OF THE TYPE OF DISEASE AND SYMPTOM ACCORDING TO SASANG CONSTITUTION CLASSIFICATION (체질진단분류(體質診斷分類)에 따른 질병(疾病) 및 증상유형(症狀類型)에 관한 임상적(臨床的) 연구(硏究) II (문진표를 중심으로))

  • Kim, Young-woo;Kim, jing-weon
    • Journal of Sasang Constitutional Medicine
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    • v.11 no.1
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    • pp.119-135
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    • 1999
  • The object of this study is 196 patients who had been treated in the Oriental Medical Hospital at Dong Eui Medical Center during 33 months from January 1996,3 to June 1998,11. We proceeded the judgment of Sasang Constitution by 'Questionnaire of Sasang Constitution Classification(I)' and 'Questionnaire of Sasang Constitution Classification II(QSCCII)'. The following conclusion were made in comparison with Sasang Constitution and Questionnaire about disease and style of symptoms. 1. The subject of "increase of the weight of a body(gain weight), sweatier, the body swelled out, a lame pain, more like fat food, more like salty food", has significant differences in sasang constitution classification. The frequency of Taeeum group is more than that of Soeum group and Soyang group. 2. The subject of "the complextion is bas, uncomfortable feeling in the throat, insomnia, loss of appetite, apt to be fatigued easily, gastralgia what is not connected with food, diarrhea, headache, menorrhalgia, less like fat food, more like fresh food", has significant differences in sasang constitution classification. The frequency of Soeum group is more than that of Taeeum group and Soyang group. 3. It has not significant differences, but the frequency of Soyang group is more than that of Taeeum group and Soeum group in the subject of "the cough in the disease of the respiratory organs, hypomotility of the joint in the disease of the musculo-skeletal systems, menoxenia like menorrhagia and menostaxia and itching sensation of genitals in the disease of the gynecological organs, itching or boil in the dermatological disease", and fewer in the cardio-vascular disease, urinary disease and hematic disease. The frequency of Soeum group is more than that of Taeeum group and Soyang group in the subject of "the general disease of the digestive organs, uncomfortable feeling or pain of the throat in the disease of the respiratory organs, the general hematic disease, numbness or pain of the musculo-skeletal disease, psychical disease in the psychoneurotical disease, menorrhalgia, a lump of the breasts, leukorrhea in the gynecological disease, eruption or urticaria in the dermatological disease, the general visual and auditory disease". The frequency of Taeeum group is more than that of Soyang group and Soeum group in the subject of "a hoarseness in the disease of the respiratory organs, A lame pain of the musculo-skeletal disease, neurotical disease in the psychoneurotical disease, eruption or urticaria in the dermatological disease", and fewer in the the gynecological disease.

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Seismic Anisotropy Physical Modeling with Vertical Transversely Isotropic Media (VTI 매질의 탄성파 이방성 축소모형실험)

  • Ha, Young-Soo;Shin, Sung-Ryul
    • Geophysics and Geophysical Exploration
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    • v.13 no.4
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    • pp.307-314
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    • 2010
  • Although conventional seismic data processing is based on the assumption that the media are isotropic, the subsurface is often anisotropy in shale formation or carbonate with cracks and fractures. This paper presents the anisotropic parameter and seismic modeling in transversely isotropic media with a vertical symmetry axis using seismic physical modeling. The experiment was successfully carried out with VTI media, laminated bakelite material, using contact transducer of p and s-wave transmission. The variation of velocities with angle of incidence was clearly shown in anisotropic material. Comparing these velocities with the calculated phase velocities, the (P) and (S)-wave velocity observed in anisotropic material was a very good agreement with the calculated values. Anisotropic parameter ${\varepsilon}$, ${\delta}$, ${\gamma}$ was estimated by using Lame's constant calculated from the observed velocity. For the purpose of testing (S)-wave polarization, a birefringence experiment was carried out. The higher velocity was associated with the polarization parallel to the fracture, and the lower velocity was associated with the polarization perpendicular to the fracture.