• Title/Summary/Keyword: Physics based deformation

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Static analysis of 2D-FG nonlocal porous tube using gradient strain theory and based on the first and higher-order beam theory

  • Xiaozhong Zhang;Jianfeng Li;Yan Cui;Mostafa Habibi;H. Elhosiny Ali;Ibrahim Albaijan;Tayebeh Mahmoudi
    • Steel and Composite Structures
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    • v.49 no.3
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    • pp.293-306
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    • 2023
  • This article focuses on the study of the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity, based on the first shear deformation and higher-order theory of the tube. The nano-scale tube is simulated using the nonlocal gradient strain theory, and the general equations and boundary conditions are derived using Hamilton's principle for the Zhang-Fu's tube model (as a higher-order theory) and Timoshenko beam theory. Finally, the derived equations are solved using a numerical method for both simply-supported and clamped boundary conditions. A parametric study is performed to investigate the effects of different parameters, such as axial and radial FG power indices, porosity parameter, and nonlocal gradient strain parameters, on the buckling behavior of the bi-dimensional functionally graded porous tube. Keywords: Nonlocal strain gradient theory; buckling; Zhang-Fu's tube model; Timoshenko theory; Two-dimensional functionally graded materials; Nanotubes; Higher-order theory.

Numerical simulation of fish nets in currents using a Morison force model

  • Cifuentes, Cristian;Kim, M.H.
    • Ocean Systems Engineering
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    • v.7 no.2
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    • pp.143-155
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    • 2017
  • For complex flexible structures such as nets, the determination of drag forces and its deformation is a challenging task. The accurate prediction of loads on cages is one of the key steps in designing fish farm facilities. The basic physics with a simple cage, can be addressed by the use of experimental studies. However, to design more complex cage system for various environmental conditions, a reliable numerical simulation tool is essential. In this work, the current load on a cage is calculated using a Morison-force model applied at instantaneous positions of equivalent-net modeling. Variations of solidity ratio ($S_n$) of the net and current speed are considered. An equivalent array of cylinders is built to represent the physical netting. Based on the systematic comparisons between the published experimental data for Raschel nets and the current numerical simulations, carried out using the commercial software OrcaFlex, a new formulation for $C_d$ values, used in the equivalent-net model, is presented. The similar approach can also be applied to other netting materials following the same procedure. In case of high solidity ratio and current speed, the hybrid model defines $C_d$ as a function of Re (Reynolds number) and $S_n$ to better represent the corresponding weak diffraction effects. Otherwise, the conventional $C_d$ values depending only on Re can be used with including shielding effects for downstream elements. This new methodology significantly improves the agreement between numerical and experimental data.

Nonlinear rheology of linear polymer melts: Modeling chain stretch by interchain tube pressure and Rouse time

  • Wagner, Manfred H.;Rolon-Garrido, Victor H.
    • Korea-Australia Rheology Journal
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    • v.21 no.4
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    • pp.203-211
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    • 2009
  • In flows with deformation rates larger than the inverse Rouse time of the polymer chain, chains are stretched and their confining tubes become increasingly anisotropic. The pressures exerted by a polymer chain on the walls of an anisotropic confinement are anisotropic and limit chain stretch. In the Molecular Stress Function (MSF) model, chain stretch is balanced by an interchain pressure term, which is inverse proportional to the $3^{rd}$ power of the tube diameter and is characterized by a tube diameter relaxation time. We show that the tube diameter relaxation time is equal to 3 times the Rouse time in the limit of small chain stretch. At larger deformations, we argue that chain stretch is balanced by two restoring tensions with weights of 1/3 in the longitudinal direction of the tube (due to a linear spring force) and 2/3 in the lateral direction (due to the nonlinear interchain pressure), both of which are characterized by the Rouse time. This approach is shown to be in quantitative agreement with transient and steady-state elongational viscosity data of two monodisperse polystyrene melts without using any nonlinear parameter, i.e. solely based on the linear-viscoelastic characterization of the melts. The same approach is extended to model experimental data of four styrene-butadiene random copolymer melts in shear flow. Thus for monodisperse linear polymer melts, for the first time a constitutive equation is presented which allows quantitative modeling of nonlinear extension and shear rheology on the basis of linear-viscoelastic data alone.

Effect of a Coil Shape on an Impulse Velocity of the Electromagnetic Welding (전자기 용접의 충돌 속도에 대한 코일 형상의 영향)

  • Park, H.;Lee, K.;Lee, J.;Lee, Y.;Kim, D.
    • Transactions of Materials Processing
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    • v.28 no.3
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    • pp.135-144
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    • 2019
  • Electromagnetic impulse welding (EMIW) is a type of solid state welding using the Lorentz force generated by interaction between the magnetic field of the coil and the current induced in the workpiece. Although many experimental studies have been investigated on the expansion and compression welding of tube using the EMIW process, studies on the EMIW process of lap joint between flat sheets are uncommon. Since the magnetic field enveloped inside the tube can be controlled with ease, the electromagnetic technique has been widely used for tube welding. Conversely, it is difficult to control the magnetic field in the flat sheet welding so as to obtain the required welding velocity. The current study analyzed the effects of coil shape on the impulse velocity for suitable flat one-turn coil for the EMIW of the flat sheets. The finite element (FE) multi-physics simulation involving magnetic and structural field of EMIW were conducted with the commercial software LS-DYNA to evaluate the several shape variables, viz., influence of various widths, thicknesses, gaps and standoff distances of the flat one-turn coil on the impulse velocity. To obtain maximum impulse velocity, the flat one-turn coil was designed based on the FE simulation results. The experiments were performed using an aluminum alloy 1050 sheets of 1.0mm thickness using the designed flat one-turn coil. Through the microscopic interfacial analysis of the welded specimens, the interfacial connectivity was observed to have no defects. In addition, the single lap joint tests were performed to evaluate the welding strength, and a fracture occurred in the base material. As a result, a flat one-turn coil was successfully designed to guarantee welding with bond strength equal to or greater than the base material strength.

Design of Linear Astigmatism Free Three Mirror System (LAF-TMS) for Sky Monitoring Programs

  • Park, Woojin;Pak, Soojong;Chang, Seunghyuk;Kim, Sanghyuk;Kim, Dae Wook;Lee, Hanshin;Lee, Kwangjo
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.2
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    • pp.88.1-88.1
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    • 2017
  • We report a novel design of the "linear astigmatism-free" three mirror system (LAF-TMS). In general, the linear astigmatism is one of the most dominant aberration degrading image qualities in common off-axis systems. The proposed LAF-TMS is based on a confocal off-axis three mirror system, where higher order aberrations are minimized via our numerical optimization. The system comprises three pieces of aluminum-alloy freeform mirrors that are feasible to be fabricated with current single-point diamond turning (SPDT) machining technology. The surface figures, dimensions, and positions of mirrors are carefully optimized for a LAF performance. For higher precision-positioning mechanism, we also included alignment parts: shims (for tilting) and L-brackets (for decentering). Any possible mechanical deformation due to assembly process as well as 1-G gravity, and its influence on optical performances of the system are investigated via the finite element (FE) analysis. The LAF-TMS has low f-number and a wide field of view, which is promising for sky monitoring programs such as supernova surveys.

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Nonlocal dynamic modeling of mass sensors consisting of graphene sheets based on strain gradient theory

  • Mehrez, Sadok;Karati, Saeed Ali;DolatAbadi, Parnia Taheri;Shah, S.N.R.;Azam, Sikander;Khorami, Majid;Assilzadeh, Hamid
    • Advances in nano research
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    • v.9 no.4
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    • pp.221-235
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    • 2020
  • The following composition establishes a nonlocal strain gradient plate model that is essentially related to mass sensors laying on Winkler-Pasternak medium for the vibrational analysis from graphene sheets. To achieve a seemingly accurate study of graphene sheets, the posited theorem actually accommodates two parameters of scale in relation to the gradient of the strain as well as non-local results. Model graphene sheets are known to have double variant shear deformation plate theory without factors from shear correction. By using the principle of Hamilton, to acquire the governing equations of a non-local strain gradient graphene layer on an elastic substrate, Galerkin's method is therefore used to explicate the equations that govern various partition conditions. The influence of diverse factors like the magnetic field as well as the elastic foundation on graphene sheet's vibration characteristics, the number of nanoparticles, nonlocal parameter, nanoparticle mass as well as the length scale parameter had been evaluated.

Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method

  • Emdadi, Mohsen;Mohammadimehr, Mehdi;Navi, Borhan Rousta
    • Advances in nano research
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    • v.7 no.2
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    • pp.109-123
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    • 2019
  • In this article, the free vibration analysis of annular sandwich plates with various functionally graded (FG) porous cores and carbon nanotubes reinforced composite (CNTRC) facesheets is investigated based on modified couple stress theory (MCST) and first order shear deformation theories (FSDT). The annular sandwich plate is composed of two face layers and a functionally graded porous core layer which contains different porosity distributions. Various approaches such as extended mixture rule (EMR), Eshelby-Mori-Tanaka (E-M-T), and Halpin-Tsai (H-T) are used to determine the effective material properties of microcomposite circular sandwich plate. The governing equations of motion are extracted by using Hamilton's principle and FSDT. A Ritz method has been utilized to calculate the natural frequency of an annular sandwich plate. The effects of material length scale parameters, boundary conditions, aspect and inner-outer radius ratios, FG porous distributions, pore compressibility and volume fractions of CNTs are considered. The results are obtained by Ritz solutions that can be served as benchmark data to validate their numerical and analytical methods in the future work and also in solid-state physics, materials science, and micro-electro-mechanical devices.

Interaction Technique of Physics Based Deformation for User Immersion (물리기반 형상변형의 몰입감 증대를 위한 상호작용기술)

  • Choi, Han Kyun;Kim, Hyun Soo;Lee, Seung Joo;Park, Min Ki;Lee, Kwan H.
    • Proceedings of the Korea Information Processing Society Conference
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    • 2009.04a
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    • pp.216-219
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    • 2009
  • 3 차원 콘텐트를 이용한 물리기반 시뮬레이션은 최근 컴퓨터 그래픽스 분야에서 가장 활발히 연구되는 연구 중 하나이다. 이와 더불어 이러한 기술들과 사용자간의 몰입감을 증가시키는 상호작용 기술 역시 계속하여 증가하는 추세이다. 본 연구는 이러한 추세에 발맞추어 물리기반 형상변형 기술의 몰입감을 증가시키기 위한 상호작용 방법을 제안한다. 제안된 방법에서는 3 차원 객체와 사용자와의 효율적인 상호작용을 위해서 시스템을 증강현실 환경에서 구현하였다. 증강현실을 이용한 시스템의 제약조건은 실시간 계산이다. 때문에, 제안된 시스템은 RBF(Radial Basis Function) [1] 와 LSM (Lattice Shape Matching) [2, 3] 방법을 조합하여 물리기반 상호작용 기술을 완성 하였고 실험을 통해 실시간 계산을 확인하였다. 또한, 3 차원 객체가 충돌하여 변형이 일어날 때 감각형 객체 (Tangible object)에 진동을 주어 물리기반 형상변형의 사용자 상호작용에 관한 몰입감을 증가시켰다.

Prediction of maximum shear modulus (Gmax) of granular soil using empirical, neural network and adaptive neuro fuzzy inference system models

  • Hajian, Alireza;Bayat, Meysam
    • Geomechanics and Engineering
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    • v.31 no.3
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    • pp.291-304
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    • 2022
  • Maximum shear modulus (Gmax or G0) is an important soil property useful for many engineering applications, such as the analysis of soil-structure interactions, soil stability, liquefaction evaluation, ground deformation and performance of seismic design. In the current study, bender element (BE) tests are used to evaluate the effect of the void ratio, effective confining pressure, grading characteristics (D50, Cu and Cc), anisotropic consolidation and initial fabric anisotropy produced during specimen preparation on the Gmax of sand-gravel mixtures. Based on the tests results, an empirical equation is proposed to predict Gmax in granular soils, evaluated by the experimental data. The artificial neural network (ANN) and Adaptive Neuro Fuzzy Inference System (ANFIS) models were also applied. Coefficient of determination (R2) and Root Mean Square Error (RMSE) between predicted and measured values of Gmax were calculated for the empirical equation, ANN and ANFIS. The results indicate that all methods accuracy is high; however, ANFIS achieves the highest accuracy amongst the presented methods.

Clinical Application of Dose Reconstruction Based on Full-Scope Monte Carlo Calculations: Composite Dose Reconstruction on a Deformed Phantom (몬테칼로 계산을 통한 흡수선량 재구성의 임상적 응용: 변형된 팬텀에서의 총제적 선량재구성)

  • Yeo, Inhwan;Xu, Qianyi;Chen, Yan;Jung, Jae Won;Kim, Jong Oh
    • Progress in Medical Physics
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    • v.25 no.3
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    • pp.139-142
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    • 2014
  • The purpose of this study was to develop a system of clinical application of reconstructed dose that includes dose reconstruction, reconstructed dose registration between fractions of treatment, and dose-volume-histogram generation and to demonstrate the system on a deformable prostate phantom. To achieve this purpose, a deformable prostate phantom was embedded into a 20 cm-deep and 40 cm-wide water phantom. The phantom was CT scanned and the anatomical models of prostate, seminal vesicles, and rectum were contoured. A coplanar 4-field intensity modulated radiation therapy (IMRT) plan was used for this study. Organ deformation was simulated by inserting a "transrectal" balloon containing 20 ml of water. A new CT scan was obtained and the deformed structures were contoured. Dose responses in phantoms and electronic portal imaging device (EPID) were calculated by using the XVMC Monte Carlo code. The IMRT plan was delivered to the two phantoms and integrated EPID images were respectively acquired. Dose reconstruction was performed on these images using the calculated responses. The deformed phantom was registered to the original phantom using an in-house developed software based on the Demons algorithm. The transfer matrix for each voxel was obtained and used to correlate the two sets of the reconstructed dose to generate a cumulative reconstructed dose on the original phantom. Forwardly calculated planning dose in the original phantom was compared to the cumulative reconstructed dose from EPID in the original phantom. The prescribed 200 cGy isodose lines showed little difference with respect to the "prostate" and "seminal vesicles", but appreciable difference (3%) was observed at the dose level greater than 210 cGy. In the rectum, the reconstructed dose showed lower volume coverage by a few percent than the plan dose in the dose range of 150 to 200 cGy. Through this study, the system of clinical application of reconstructed dose was successfully developed and demonstrated. The organ deformation simulated in this study resulted in small but observable dose changes in the target and critical structure.