• Title/Summary/Keyword: 3D elasticity

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Static response of 2-D functionally graded circular plate with gradient thickness and elastic foundations to compound loads

  • Behravan Rad, A.
    • Structural Engineering and Mechanics
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    • v.44 no.2
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    • pp.139-161
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    • 2012
  • In this paper, the static behavior of bi-directional functionally graded (FG) non-uniform thickness circular plate resting on quadratically gradient elastic foundations (Winkler-Pasternak type) subjected to axisymmetric transverse and in-plane shear loads is carried out by using state-space and differential quadrature methods. The governing state equations are derived based on 3D theory of elasticity, and assuming the material properties of the plate except the Poisson's ratio varies continuously throughout the thickness and radius directions in accordance with the exponential and power law distributions. The stresses and displacements distribution are obtained by solving state equations. The effects of foundation stiffnesses, material heterogeneity indices, geometric parameters and loads ratio on the deformation and stress distributions of the FG circular plate are investigated in numerical examples. The results are reported for the first time and the new results can be used as a benchmark solution for future researches.

Improved Element-Free Galerkin method (IEFG) for solving three-dimensional elasticity problems

  • Zhang, Zan;Liew, K.M.
    • Interaction and multiscale mechanics
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    • v.3 no.2
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    • pp.123-143
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    • 2010
  • The essential idea of the element-free Galerkin method (EFG) is that moving least-squares (MLS) approximation are used for the trial and test functions with the variational principle (weak form). By using the weighted orthogonal basis function to construct the MLS interpolants, we derive the formulae for an improved element-free Galerkin (IEFG) method for solving three-dimensional problems in linear elasticity. There are fewer coefficients in improved moving least-squares (IMLS) approximation than in MLS approximation. Also fewer nodes are selected in the entire domain with the IEFG method than is the case with the conventional EFG method. In this paper, we selected a few example problems to demonstrate the applicability of the method.

Vibrations of truncated shallow and deep conical shells with non-uniform thickness

  • Kang, Jae-Hoon
    • Structural Engineering and Mechanics
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    • v.55 no.1
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    • pp.29-46
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    • 2015
  • A three-dimensional (3-D) method of analysis is presented for determining the natural frequencies of a truncated shallow and deep conical shell with linearly varying thickness along the meridional direction free at its top edge and clamped at its bottom edge. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components $u_r$, $u_{\theta}$, and $u_z$ in the radial, circumferential, and axial directions, respectively, are taken to be periodic in ${\theta}$ and in time, and algebraic polynomials in the r and z directions. Strain and kinetic energies of the truncated conical shell with variable thickness are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated. The frequencies from the present 3-D method are compared with those from other 3-D finite element method and 2-D shell theories.

A Study on the Mechanical Properties of Knit Fabric Using 3D Printing -Focused on PLA, TPU Filament- (3D프린팅을 이용한 편성물의 역학적 특성 연구 -PLA, TPU 필라멘트를 중심으로-)

  • Han, Yoojung;Kim, Jongjun
    • Journal of Fashion Business
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    • v.22 no.4
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    • pp.93-105
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    • 2018
  • Using FDM 3D printing, yarn shape and composition were modeled and 3D printed with PLA and TPU filaments currently used for apparel. Based on this, mechanical characteristics were measured to determine 3D printing yarn according to type of filaments in the 3D printed output and deformation and recovery characteristics due to differences in structure type. As a result of examining tensile and shear characteristics of PLA and TPU 3D printing compiles, TPU overall was measured with significantly lower stress than PLA. This is due to high elasticity of TPU's character, revealing that it has better flexibility than PLA. In addition, during deformation due to external forces, the more freedom between the head and foot parts of the loop, and the lower the force associated with each other, the more flexible it is. TPU revealed that it was easier to tension and recovery from tensile deformation than PLA, indicating potential for clothing materials using 3D printing. If high-molecular materials, such as PLA flexibility, it is likely to provide some flexibility through development of styles, including degree of freedom in modeling. Based on this, we provide basic data for developing 3D printing textures that can be satisfied with textile for apparel.

The Inhibition of UVA-induced Matrix Metalloproteinase-1 in Human Dermal Fibroblasts and the Improvement of Skin Elasticity by Cirsium setidens Extract (고려엉겅퀴 추출물의 사람 섬유아세포에 있어서 자외선으로 유도된 MMP-1발현 저해와 피부 탄력 개선 효과)

  • Sim, Gwan-Sub;Kim, Jin-Hwa;Lee, Dong-Hwan;Lee, Bum-Chun;Lee, Geun-Soo;Pyo, Hyeong-Bae
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.33 no.3
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    • pp.181-187
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    • 2007
  • In this study, we measured the anti-oxidative activity of Cirsium setidens and investigated its effect on UVA-induced MMP-1 expression in human dermal fibroblats. And then we examined possible improvement in skin elasticity by topical treatment with fomular including Cirsium setidens extract. The ethanol extract of C. setidens showed free anion radical scavenging effect(87.47 % at 1 mg/mL) and superoxide anion radical scavenging effect(61.71 % at 1 mg/mL) in the xanthine/xanthine oxidase system, respectively. At the concentration of 100 ${\mu}g/mL$, C. setidens extract showed 95.54% inhibition on lipid peroxidation of linoleic acid. UVA-induced MMP-1 expression in human dermal fibroblasts was reduced to 54.69 % by treatment with 100 ${\mu}g/mL$ of C. setidens extract. A human clinical study, in which oil-in-water emulsion with C. setidens extract was topically applied, showed significant increase in skin elasticity. These results suggest that the C. setidens extract can be effective anti-aging ingredient for cosmetics applications.

Measurement Method of Complex Dynamic Viscoelastic Material Properties (점탄성 재료의 복소수 동특성 측정방법)

  • Lee, In-Won;An, Nam-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.5
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    • pp.489-495
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    • 2009
  • A novel technique to measuret of viscoelastic properties of polymers is proposed to investigate complex Poisson's ratio as a function of frequency. The forced vibration responses for the samples under the normal and the shear deformation are to be measured with varying load masses. The measured data were used to obtain the viscoelastic properties of the material based on an accurate 2D numerical deformation model of the sample. The 2D model enabled us to exclude data correction by the empirical form factor used in 1D model. Comprehensive measurements of viscoelastic properties of two slightly varied silicone RTV rubber ($Silastic^{(R)}$ S2) compositions were performed. Standard composition (90% PDMS polymer + 10% catalyst) and modified composition (92.5% polymer + 7.5% catalyst) were tested in temperature range from $30^{\circ}C$ to $70^{\circ}C$. Shear modulus, modulus of elasticity, loss factor, and both the real and the imaginary parts of the Poisson's ratio were determined for frequencies from 50 to 400Hz in the linear deformation regime (at relative deformations $10^{-4}{\sim}10^{-3}$).

Node Activation Technique for Finite Element Model : Ⅱ. Computation (유한요소 모델의 절점 활성화 기법 : Ⅱ. 계산)

  • Kim, Do Nyeon;Kim, Seung Jo;Ji, Yeong Beom;Jo, Jin Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.4
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    • pp.35-43
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    • 2003
  • In this paper, an efficient computational algorithm for the implementation of the newly proposed node activation technique is presented, and its computational aspects are thoroughly investigated. To verify the validity, convergence, and efficiency of the node activation technique, various numerical examples are worked out including the problems of Poisson equation, 2D elasticity problems, and 3D elasticity problems. From the numerical tests, it is verified that one can arbitrarily activate and handle the nodal points of interest in finite element model with very little loss of the numerical accuracy.

Kinematic Access For Generation of Realistic Behavior of Artificial Fish in Virtual Merine World (가상해저공간에서 Artificial Fish의 사실적인 행동 생성을 위한 운동학적 접근)

  • Kim, Chong-Han;Jung, Seung-Moon;Shin, Min-Woo;Kang, Im-Chul
    • The Journal of the Korea Contents Association
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    • v.8 no.1
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    • pp.308-317
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    • 2008
  • The objects real time rendered in the 3D cyber space can interact with each others according to the events which are happened when satisfying some conditions. But to representing the behaviors with these interactions, too many event conditions are considered because each behavior pattern and event must be corresponded in a one-to-one ratio. It leads to problems which increase the system complexity. So, in this paper, we try to physical method based on elasticity force for representing more realistic behaviors of AI fish and apply to the deformable multi-detection sensor, so we suggest the new method which can create the various behavior patterns responding to one evasion event.

A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates

  • Bessaim, Aicha;Houari, Mohammed Sid Ahmed;Bernard, Fabrice;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.56 no.2
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    • pp.223-240
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    • 2015
  • In this work, a nonlocal quasi-3D trigonometric plate theory for micro/nanoscale plates is proposed. In order to introduce the size influences, the Eringen's nonlocal elasticity theory is utilized. In addition, the theory considers both shear deformation and thickness stretching effects by a trigonometric variation of all displacements within the thickness, and respects the stress-free boundary conditions on the top and bottom surfaces of the plate without considering the shear correction factor. The advantage of this theory is that, in addition to considering the small scale and thickness stretching effects (${\varepsilon}_z{\neq}0$), the displacement field is modelled with only 5 unknowns as the first order shear deformation theory (FSDT). Analytical solutions for vibration of simply supported micro/nanoscale plates are illustrated, and the computed results are compared with the available solutions in the literature and finite element model using ABAQUS software package. The influences of the nonlocal parameter, shear deformation and thickness stretching on the vibration behaviors of the micro/nanoscale plates are examined.

Free vibration analysis of FG porous spherical cap reinforced by graphene platelet resting on Winkler foundation

  • Xiangqian Shen;Tong Li;Lei Xu;Faraz Kiarasi;Masoud Babaei;Kamran Asemi
    • Advances in nano research
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    • v.16 no.1
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    • pp.11-26
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    • 2024
  • In this study, free vibration analysis of FG porous spherical cap reinforced by graphene platelets resting on Winkler-type elastic foundation has been surveyed for the first time. Three different types of porosity patterns are considered for the spherical cap whose two types of porosity patterns in the metal matrix are symmetric and the other one is uniform. Besides, five GPL patterns are assumed for dispersing of GPLs in the metal matrix. Tsai-Halpin and extended rule of the mixture are used to determine the Young modulus and mass density of the shell, respectively. Employing 3D FEM elasticity in conjunction with Hamilton's Principle, the governing motion equations of the structure are obtained and solved. The impact of various parameters including porosity coefficient, various porosity distributions in conjunction with different GPL patterns, the weight fraction of graphene Nano fillers, polar angles and stiffness coefficient of elastic foundation on natural frequencies of FG porous spherical cap reinforced by GPLs have been reported for the first time.