• 제목/요약/키워드: linear elasticity

검색결과 255건 처리시간 0.027초

Static deflection of nonlocal Euler Bernoulli and Timoshenko beams by Castigliano's theorem

  • Devnath, Indronil;Islam, Mohammad Nazmul;Siddique, Minhaj Uddin Mahmood;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제12권2호
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    • pp.139-150
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    • 2022
  • This paper presents sets of explicit analytical equations that compute the static displacements of nanobeams by adopting the nonlocal elasticity theory of Eringen within the framework of Euler Bernoulli and Timoshenko beam theories. Castigliano's theorem is applied to an equivalent Virtual Local Beam (VLB) made up of linear elastic material to compute the displacements. The first derivative of the complementary energy of the VLB with respect to a virtual point load provides displacements. The displacements of the VLB are assumed equal to those of the nonlocal beam if nonlocal effects are superposed as additional stress resultants on the VLB. The illustrative equations of displacements are relevant to a few types of loadings combined with a few common boundary conditions. Several equations of displacements, thus derived, matched precisely in similar cases with the equations obtained by other analytical methods found in the literature. Furthermore, magnitudes of maximum displacements are also in excellent agreement with those computed by other numerical methods. These validated the superposition of nonlocal effects on the VLB and the accuracy of the derived equations.

Experimental Study of Bending and Bearing Strength of Parallel Strand Lumber (PSL) from Japanese Larch Veneer Strand

  • OH, Seichang
    • Journal of the Korean Wood Science and Technology
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    • 제50권4호
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    • pp.237-245
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    • 2022
  • This study examined the structural performance of experimental parallel strand lumber (PSL) from a Larch veneer strand. The prototype of PSL from a Larch veneer strand was manufactured in the experimental laboratory and tested. The bending and dowel bearing strength were determined from the modulus of elasticity (MOE), modulus of rupture (MOR), and dowel bearing strength based on a 5% offset yield load. The test results indicated that the average MOR of PSL was higher than that of 2 × 4 dimension lumber, and the average MOE of PSL was lower than that of 2 × 4 dimension lumber. A linear relationship was observed between the MOR and MOE. The allowable bending stress of PSL was derived as specified in ASTM D2915 and compared with other research. The dowel bearing strength of PSL in parallel to the grain was approximately double that perpendicular to the grain of PSL. A comparison of several theoretical calculations based on each national code for the dowel bearing strength was conducted, and some theoretical equations produced results closer to the experimental results when it was parallel to the grain, but the difference was higher in the case perpendicular to the grain. The test results showed that PSL made with Japanese larch veneer strands appeared to be suitable for a raw material of structural composite lumber (SCL) appeared to be used as a raw material for SCL.

A quasi-3D nonlocal theory for free vibration analysis of functionally graded sandwich nanobeams on elastic foundations

  • Mofareh Hassan Ghazwani;Ali Alnujaie;Pham Van Vinh;Abdelouahed Tounsi
    • Advances in nano research
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    • 제16권3호
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    • pp.313-324
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    • 2024
  • The main aims of this study are to develop a new nonlocal quasi-3D theory for the free vibration behaviors of the functionally graded sandwich nanobeams. The sandwich beams consist of a ceramic core and two functionally graded material layers resting on elastic foundations. The two layers, linear spring stiffness and shear layer, are used to model the effects of the elastic foundations. The size-effect is considered using nonlocal elasticity theory. The governing equations of the motion of the functionally graded sandwich nanobeams are obtained via Hamilton's principle in combination with nonlocal elasticity theory. Then the Navier's solution technique is used to solve the governing equations of the motion to achieve the nonlocal free vibration behaviors of the nanobeams. A deep parametric study is also provided to demonstrate the effects of some parameters, such as length-to-height ratio, power-law index, nonlocal parameter, and two parameters of the elastic foundation, on the free vibration behaviors of the functionally graded sandwich nanobeams.

Recommendation for the modelling of 3D non-linear analysis of RC beam tests

  • Sucharda, Oldrich;Konecny, Petr
    • Computers and Concrete
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    • 제21권1호
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    • pp.11-20
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    • 2018
  • The possibilities of non-linear analysis of reinforced-concrete structures are under development. In particular, current research areas include structural analysis with the application of advanced computational and material models. The submitted article aims to evaluate the possibilities of the determination of material properties, involving the tensile strength of concrete, fracture energy and the modulus of elasticity. To evaluate the recommendations for concrete, volume computational models are employed on a comprehensive series of tests. The article particularly deals with the issue of the specific properties of fracture-plastic material models. This information is often unavailable. The determination of material properties is based on the recommendations of Model Code 1990, Model Code 2010 and specialized literature. For numerical modelling, the experiments with the so called "classic" concrete beams executed by Bresler and Scordelis were selected. It is also based on the series of experiments executed by Vecchio. The experiments involve a large number of reinforcement, cross-section and span variants, which subsequently enabled a wider verification and discussion of the usability of the non-linear analysis and constitutive concrete model selected.

FFF 방식으로 제작된 PLA의 열화에 따른 선형탄성 및 초탄성 모델의 비교에 관한 연구 (A Comparative Study of the Linear-elastic and Hyperelastic Models for Degradation of PLA Prepared using Fused Filament Fabrication)

  • 최나연;신병철;장성욱
    • 한국기계가공학회지
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    • 제19권3호
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    • pp.1-7
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    • 2020
  • Fused filament fabrication (FFF) is a process extruding and stacking materials. PLA materials are one of the most frequently used materials for FFF method of 3D printing. Polylactic acid (PLA)-based materials are among the most widely used materials for FFF-based three-dimensional (3D) printing. PLA is an eco-friendly material made using starch extracted from corn, as opposed to plastic made using conventional petroleum resin; PLA-based materials are used in various fields, such as packaging, aerospace, and medicines. However, it is important to analyze the mechanical properties of theses materials, such as elastic strength, before using them as structural materials. In this study, the reliability of PLA-based materials is assessed through an analysis of the changes in the linear elasticity of these materials under thermal degradation by applying a hyperelastic analytical model.

Experimental and Numerical Assessment of the Service Behaviour of an Innovative Long-Span Precast Roof Element

  • Lago, Bruno Dal
    • International Journal of Concrete Structures and Materials
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    • 제11권2호
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    • pp.261-273
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    • 2017
  • The control of the deformative behaviour of pre-stressed concrete roof elements for a satisfactory service performance is a main issue of their structural design. Slender light-weight wing-shaped roof elements, typical of the European heritage, are particularly sensitive to this problem. The paper presents the results of deformation measurements during storage and of both torsional-flexural and purely flexural load tests carried out on a full-scale 40.5 m long innovative wing-shaped roof element. An element-based simplified integral procedure that de-couples the evolution of the deflection profile with the progressive shortening of the beam is adopted to catch the experimental visco-elastic behaviour of the element and the predictions are compared with normative close-form solutions. A linear 3D fem model is developed to investigate the torsional-flexural behaviour of the member. A mechanical non-linear beam model is used to predict the purely flexural behaviour of the roof member in the pre- and post-cracking phases and to validate the loss prediction of the adopted procedure. Both experimental and numerical results highlight that the adopted analysis method is viable and sound for an accurate simulation of the service behaviour of precast roof elements.

쌀 품종에 따른 증편의 조직특성에 관한 연구 (A Study on Texture of Jeung-pyun According the Kinds of Rice)

  • 김효진;이숙미;조정순
    • 한국식품조리과학회지
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    • 제13권1호
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    • pp.7-15
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    • 1997
  • The composition and polymeric structure of starch are the most important factors to determine the functional properties of rice. In an effort to relate the structural characteristics and its functional properties of starch in rice, molecular structural properties of starch from 6 rice cultivars were analysed. To relate the structure and function of starch the texture of Jeung-pyun made of rice were analyzed during retrogradation. The polymeric structure of rice starch was analyzed by debranching with isoamylase after gelatinization and fractionated with Sephadex G-75 gel filteration. The size fractionated debranched starch was categorized into four groups such as Fraction I, II, III and Intermediate Fraction depending in their max, The fractions with the max higher than 620 nm were designated as Fraction I, while those in the range of 600-620 nm and 540-600 nm as the Intermediate Fraction and Fraction II, respectively. The Fractions with the max lower than 540 were described as Fraction III. The average degree of polymerization (DP) of the Fraction I was estimated to be higher than 200, and those of other fractions, i.e. the Intermediate Fraction I, Fraction II and III were 150,45 and 25, respectively. The levels of Fraction I were varied from II to 35% of total sugar. The Fraction I showed the linear relationship with the amylse contents, and the Intermediate Fraction, which might contain the mixture of short chain of amylose and debranched long chain of amylopectin, were measured to be in the range of 2.7∼8.4%. The levels of fraction II and III, both to be considered as the branches of amylopectin, were ranged 14.5∼23.6% and 39.7∼73.0%, respectively. The ratio of Fraction III to Fraction II describing the degree of branch or compactness of amylopectin was estimated to be around 4.0 for waxy varieties and around 2.0 for high amylose cultivars. With these results, it can be suggested that the degree of branch of the amylopectin may effect on amylose contents of starch or rice versa, To invertigate processing aptitude of different rice cultivars for the preparation of Jeung-pyun, its texture was analyzed by Instron, hardness, cohesiveness, elasticity, gumminess and chewiness of Jeung-pyun made of rice showed the significant relationship with the amylose content. Hardness was increased during retrogradation of product, but the relationship between hardness and amylose content due to not only difference in amylose content but also difference in structural characteristics of starch. In analysis of relationship between structure of rice starch and mechanical properties of Jeung-pyun during retrogradation elasticity did not show any relationship before retrogradation bur during retrogradation showed significant correlation. With these result, it can be suggested that the degree of branch of the amylopectin may effect on elasticity during retrogradation. However hardness, cohesiveness, gumminess and chewiness which were significant different before retrogradation, showed some correlation with structure of rice starch during retrigradation.

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유동성 채움재의 조기 강도 및 강성 특성 평가를 위한 실험적 연구 (Experimental Study on Evaluating Early-age Strength and Stiffness Characteristics of Controlled Low Strength Material)

  • 손동건;정인업;김동주;변용훈
    • 한국지반신소재학회논문집
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    • 제20권4호
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    • pp.133-140
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    • 2021
  • 기존 현장시험법을 이용한 유동성 채움재의 강도 및 강성 특성을 추정하는 연구는 미미한 실정이다. 본 연구에서는 LWD를 이용하여 CLSM에 대한 강성 특성을 평가하였으며, 일축압축강도시험에서 도출되는 일축압축강도와 할선탄성계수에 대한 상관성을 분석하였다. 5종류의 배합비로 조성된 CLSM시료의 유동성 및 경화특성을 평가하기 위해 플로우시험, 응결시간시험을 수행하였다. 조기 강도 및 강성 특성을 평가하기 위하여, 양생 1일 및 7일이 경과된 시료를 이용하여 일축압축강도시험을 수행하였다. CLSM시료의 회복탄성계수를 추정하기 위하여 LWD 시험도 수행되었다. 실험결과, 양생 1일된 시료에서는 초속경 모르타르의 비율이 증가될수록 일축압축강도와 할선탄성계수가 동시에 증가하였으며, 초속경 모르타르의 비율이 가장 큰 시료에서 양생 7일 후 급격한 일축압축강도와 할선탄성계수의 증가를 보여주었다. LWD 시험결과, 양생 1일된 시료에서는 초속경 모르타르의 비율이 증가할수록 회복탄성계수가 증가되었으나, 양생 7일이 경과되면 초속경 모르타르의 비율이 증가할수록 회복탄성계수가 감소되는 경향이 나타났다. 상관성 분석결과, 일축일축압축강도와 할선탄성계수가 증가할수록 회복탄성계수도 증가되는 선형관계를 보여주었다.

하중경계조건의 변화에 대한 선형탄성문제의 민감도 해석 (Sensitivity Analysis of Linear Elastic Problem due to Variations of the Traction Boundary Conditions)

  • 이태원
    • 대한기계학회논문집
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    • 제15권6호
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    • pp.1852-1860
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    • 1991
  • 본 연구에서는 연구대상을 주어진 구조물 형상에서 경계조건의 변화에 따른 현상 설계민감도, 특히 하중경계조건의 변화에 따른 구조물의 변형에 주안점을 두었다. 이 연구결과는 가공물의 지지위치에 따른 가공면의 변형정도 향상 및 접촉문제 해석등 에 응용이 가능하다. 유도된 민감도가 정확함을 입증하기 위하여 예제로서 하중경계 조건의 변화에 따른 범함수로 정의된 변형의 변화량을 예측하는 문제를 선정하였다.

Non-linear aero-elastic response of a multi-layer TPS

  • Pasolini, P.;Dowell, E.H.;Rosa, S. De;Franco, F.;Savino, R.
    • Advances in aircraft and spacecraft science
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    • 제4권4호
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    • pp.449-465
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    • 2017
  • The aim of the present work is to present a computational study of the non-linear aero-elastic behavior of a multi-layered Thermal Protection System (TPS). The severity of atmospheric re-entry conditions is due to the combination of high temperatures, high pressures and high velocities, and thus the aero-elastic behavior of flexible structures can be difficult to assess. In order to validate the specific computational model and the overall strategy for structural and aerodynamics analyses of flexible structures, the simplified TPS sample tested in the 8' High Temperature Tunnel (HTT) at NASA LaRC has been selected as a baseline for the validation of the present work. The von $K{\acute{a}}rm{\acute{a}}n^{\prime}s$ three dimensional large deflection theory for the structure and a hybrid Raleigh-Ritz-Galerkin approach, combined with the first order Piston Theory to describe the aerodynamic flow, have been used to derive the equations of motion. The paper shows that a good description of the physical behavior of the fabric is possible with the proposed approach. The model is further applied to investigate structural and aero-elastic influence of the number of the layers and the stitching pattern.