• Title/Summary/Keyword: Body mechanics

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Static Tensile Strength Evaluation of Notched Coeposite Materials (노치를 갖는 복합재료의 정적강도평가(I))

  • 김윤해;김영식;서곡홍신
    • Journal of Ocean Engineering and Technology
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    • v.7 no.2
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    • pp.19-29
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    • 1993
  • The static tensile tests of GFRP, ID300, CFRID300 and CFRPEEK were made on the plain and notched specimens at room temperature. The results were discussed based on linear notch mechanics which was proposed by H.Nistani. The fracture of notched GFRP, ID300, CFRID300 and CFRPEEK specimens is controlled by the elastic maximum stress, $({\sigma}_max)$, and the notch root racius,$\rho$, alone, independently of the other geometrical conditions. The relation between fracture nominal stress,$({\sigma}_max)$, and stress concentration factor, $K_t$ and a part where $({\sigma}_c)$ is nearly constant independent of $K_t$. A similar phenomenon can be seen in the fatigue tests of notched specimes under rotating bending or push-pull. The almost constant $({\sigma}_c)$ values correspond to the nearly constant apparent stress intensity factor, $K_{1pc}$ values, obtained by assuming ,$\rho$=0. This can be attributed to the existence of the stable crack. Linear notch mechanics is very useful for analyzing the static tensile fracture behavior of notched GFRP, ID300, CFRPEEK specimens.

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Creep analysis of a rotating functionally graded simple blade: steady state analysis

  • Mirzaei, Manouchehr Mohammad Hosseini;Arefi, Mohammad;Loghman, Abbas
    • Steel and Composite Structures
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    • v.33 no.3
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    • pp.463-472
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    • 2019
  • Initial thermo-elastic and steady state creep deformation of a rotating functionally graded simple blade is studied using first-order shear deformation theory. A variable thickness model for cantilever beam has been considered. The blade geometry and loading are defined as functions of length so that one can define his own blade profile and loading using any arbitrary function. The blade is subjected to a transverse distributed load, an inertia body force due to rotation and a distributed temperature field due to a thermal gradient between the tip and the root. All mechanical and thermal properties except Poisson's ratio are assumed to be longitudinally variable based on the volume fraction of reinforcement. The creep behaviour is modelled by Norton's law. Considering creep strains in stress strain relation, Prandtl-Reuss relations, Norton' law and effective stress relation differential equation in term of effective creep strain is established. This differential equation is solved numerically. By effective creep strain, steady state stresses and deflections are obtained. It is concluded that reinforcement particle size and form of distribution of reinforcement has significant effect on the steady state creep behavior of the blade.

Opto-mechanical Design of Monocrystalline Silicon Mirror for a Reflective Imaging Optical System

  • Liu, Xiaofeng;Zhang, Xin;Tian, Fuxiang
    • Current Optics and Photonics
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    • v.6 no.3
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    • pp.236-243
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    • 2022
  • Monocrystalline silicon has excellent properties, but it is difficult to design and manufacture silicon-based mirrors that can meet engineering applications because of its hard and brittle properties. This paper used monocrystalline silicon as the main mirror material in an imaging system to carry out a feasibility study. The lightweight design of the mirror is completed by the method of center support and edge cutting. The support structure of the mirror was designed to meet the conditions of wide temperature applications. Isight software was used to optimize the feasibility sample, and the optimized results are that the root mean square error of the mirror surface is 3.6 nm, the rigid body displacement of the mirror is 2.1 ㎛, and the angular displacement is 2.5" under the conditions of a temperature of ∆20 ℃ and a gravity load of 1 g. The optimized result show that the silicon-based mirror developed in this paper can meet the requirements of engineering applications. This research on silicon-based mirrors can provide guidance for the application of other silicon-based mirrors.

Natural vibrations and hydroelastic stability of laminated composite circular cylindrical shells

  • Bochkareva, Sergey A.;Lekomtsev, Sergey V.
    • Structural Engineering and Mechanics
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    • v.81 no.6
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    • pp.769-780
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    • 2022
  • This paper studies the dynamic behavior of laminated composite circular cylindrical shells interacting with a fluid. The mathematical formulation of the dynamic problem for an elastic body is developed based on the variational principle of virtual displacements and the relations of linear elasticity theory. The behavior of an ideal compressible fluid is described by the potential theory, the equations of which together with boundary conditions are transformed to a weak form. The hydrodynamic pressure exerted by the fluid on the internal surface of the shell is calculated according to the linearized Bernoulli equation. The numerical implementation of the mathematical formulation has been done using the semi-analytical finite element method. The influence of the ply angle and lay-up configurations of laminated composites on the natural vibration frequencies and the hydroelastic stability boundary have been analyzed for shells with different geometrical dimensions and under different kinematic boundary conditions set at their edges. It has been found that the optimal value of the ply angle depends on the level of filling of the shell with a fluid. The obtained results support the view that by choosing the optimal configuration of the layered composite material it is possible to change upwards or downwards the frequency and mode shape, as well as the critical velocity for stability loss over a wide range.

A topological optimization method for flexible multi-body dynamic system using epsilon algorithm

  • Yang, Zhi-Jun;Chen, Xin;Kelly, Robert
    • Structural Engineering and Mechanics
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    • v.37 no.5
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    • pp.475-487
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    • 2011
  • In a flexible multi-body dynamic system the typical topological optimization method for structures cannot be directly applied, as the stiffness varies with position. In this paper, the topological optimization of the flexible multi-body dynamic system is converted into structural optimization using the equivalent static load method. First, the actual boundary conditions of the control system and the approximate stiffness curve of the mechanism are obtained from a flexible multi-body dynamical simulation. Second, the finite element models are built using the absolute nodal coordination for different positions according to the stiffness curve. For efficiency, the static reanalysis method is utilized to solve these finite element equilibrium equations. Specifically, the finite element equilibrium equations of key points in the stiffness curve are fully solved as the initial solution, and the following equilibrium equations are solved using a reanalysis method with an error controlled epsilon algorithm. In order to identify the efficiency of the elements, a non-dimensional measurement is introduced. Finally, an improved evolutional structural optimization (ESO) method is used to solve the optimization problem. The presented method is applied to the optimal design of a die bonder. The numerical results show that the presented method is practical and efficient when optimizing the design of the mechanism.

A Study on Adjustment of Daily Living and Body Image of Patients with Low Back Pain (요통환자의 신체상과 생활적응에 관한 연구)

  • 구희서
    • Korean Journal of Health Education and Promotion
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    • v.6 no.1
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    • pp.91-105
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    • 1989
  • The purpose of this study is to identify the body images of patints with low back pain and their status on adjustment of daily living. The data were collected from 11 general hospitals during Feburary 2, 1987 through May 30,1987. One hundred and ninety five subjects having physical therapy treatment because of low back pain were analyzed. For measurement of body image, 11 pairs of adjectives were used on semantic differential scale, and for measurement of adjustment of daily living, 10 items were used on a likert type scale. Results of the study are summerised as follows. 1. The average patient age were 34yeats and 62% of the patients were men. High school grade completed were 43.1% and Cause of Low Back Pain were respctively;Unknown etiology 31.8%, lifting heavy objects 27.7%, Traffic accident and injury 17.9%. Types of treatment were;medication plus physical therapy 54.9%, physical therapy only 22.6%. Average treatment duration were 24.5 months. 2. There were significant difference in the body image between before low back pain and after low back pain. The body image before low back pain were 59.89(Mean) but after low back pain were 37,24(Mean) and two groups were statistically significant (t=21.3, p<0.00l). 3. there were no significant difference in the body image between the male and female.(t=1.49, p>0.05) 4. The correlation between body image and adjustment of daily living. in both sexes showed positive correlation coefficient; male(r=0.4648, p<0.00l) female(r=0.4516, p<0.00l) respectively. It means that patients with positive body image can adjust well in daily living. 5. The relation between the body image and general variables revealed sigificant difference with occupation and age.(F=2.12 p<0.05, F=3.48 p<0.05). That is different occupation and different age groups can show different body image. In conculsion with the above results, It is my strong belief that multidisciplinary approach including the concept of body image and patient education about postural care, activities of daily living, lifting mechanics should be applied in treating and dealing with those patients.

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Incremental Damage Mechanics of Particle or Short-Fiber Reinforced Composites Including Cracking Damage

  • Cho, Young-Tae
    • Journal of Mechanical Science and Technology
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    • v.16 no.2
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    • pp.192-202
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    • 2002
  • In particle or short-fiber reinforced composites, cracking of the reinforcements is a significant damage mode because the cracked reinforcements lose load carrying capacity. This paper deals with an incremental damage theory of particle or short-fiber reinforced composites. The composite undergoing damage process contains intact and broken reinforcements in a matrix. To describe the load carrying capacity of cracked reinforcement, the average stress of cracked ellipsoidal inhomogeneity in an infinite body as proposed in the previous paper is introduced. An incremental constitutive relation on particle or short-fiber reinforced composites including progressive cracking of the reinforcements is developed based on Eshelby's (1957) equivalent inclusion method and Mori and Tanaka\`s (1973) mean field concept. Influence of the cracking damage on the stress-strain response of composites is demonstrated.

The Mechanics of Crack Formation Induced by Sliding on a Brittle Material (슬라이딩에 의해 취성재료에 발생하는 균열 성장에 관한 연구)

  • Kim, J.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.36-44
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    • 1995
  • When sliding a hard cylinder along the surface of glass, periodic surface cracks appear on the flat surface due to tensile stresses induced by the slider. These cracks propagate into the substrate and will affect the fracture properties of a body. Crack spacings and the directions of crack propagation into glass were calculated numerically by applying the finite element method and linear elastic fracture mechanics. The calculated crack spacings were in the range of the experimental results. Stress intensity factors and crack extension angles depended on the radius of slider and the load, and from these two factors the possible directions of crack propagation were calculated. The calculated propagation directions were in good agreement with real crack propagation.

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Damage Mechanics in Particle or short-Fiber Reinforced Composite (분산형 복합재료의 손상 메커니즘)

  • 조영태
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.10a
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    • pp.287-292
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    • 1998
  • In particle or short-fiber reinforced composites. cracking of the reinforcements is a significant damage mode because the broken reinforcements lose load carrying capacity. This paper deals with the load carrying capacity of intact and broken ellipsoidal inhomogeneities embedded in an infinite body and a damage theory of particle or short-fiber reinforce composites. The average stress in the inhomogeneity represents its load carrying capacity. and the difference between the average stresses of the intact t and broken inhomogeneities indicates the loss of load carrying capacity due to cracking damage. The composite in damage process contains intact and broken reinforcements in a matrix. An incremental constitutive relation of particle or short-fiber reinforced composites including the progressive cracking damage of the reinforcements have been developed based on the Eshelby's equivalent inclusion method and Mori and Tanaka's mean field concept. Influence of the cracking damage on the stress-strain response of the composites is demonstrated.

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Two new triangular finite elements containing stable open cracks

  • Rezaiee-Pajand, Mohammad;Gharaei-Moghaddam, Nima
    • Structural Engineering and Mechanics
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    • v.65 no.1
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    • pp.99-110
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    • 2018
  • The focus of this paper is on the elements with stable open cracks. To analyze plane problems, two triangular elements with three and six nodes are formulated using force method. Flexibility matrices of the elements are derived by combining the non-cracked flexibility and the additional one due to crack, which is computed by utilizing the local flexibility method. In order to compute the flexibility matrix of the intact element, a basic coordinate system without rigid body motions is required. In this paper, the basic system origin is located at the crack center and one of its axis coincides with the crack surfaces. This selection makes it possible to formulate elements with inclined cracks. It is obvious that the ability of the suggested elements in calculating accurate natural frequencies for cracked structures, make them applicable for vibration-based crack detection.