• Title/Summary/Keyword: Local stiffness

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A Study on Field and Laboratory Test Methods to Obtain Non-linear Deformation Characteristics of Soft Rocks (퇴적연암의 비선형특성 조사.시험기법에 관한 연구)

  • 김유성
    • Geotechnical Engineering
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    • v.12 no.5
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    • pp.63-78
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    • 1996
  • Various type of in-situ and laboratary tests were performed in order to evaluate the stiffness of sedimentary soft rock. In triaxial compression tests of sedimentary soft rocks, axial strains from the axial displacement of the loading piston or specimen cap conventionally were considerably larger than those measured. tocally on the lateral surfaces of specimen, due to the bedding errors at the top and bottom ends of a specimen. A local deformation transducer was used to measure axial strains free from the bedding error ranging from 0.001% to about 1%. In ultra-sonic wave tests, the elastic modulus of unconfined spec imens was smaller than that of confined specimens, due probably to microfracks. Young's modulus Ed from ultra-sonic wave tests and those at small local strains from triaxial tests were similar, both of which agreed very well with Young's modulus Er from field shear wave velocities. Young'a modulus from the field behaviour was virtually similar to that obtained by reducing Er based on the strain level-dependency of stiffness evaluated by the triaxial tests.

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Saw-tooth softening/stiffening - a stable computational procedure for RC structures

  • Rots, Jan G.;Invernizzi, Stefano;Belletti, Beatrice
    • Computers and Concrete
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    • v.3 no.4
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    • pp.213-233
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    • 2006
  • Over the past years techniques for non-linear analysis have been enhanced significantly via improved solution procedures, extended finite element techniques and increased robustness of constitutive models. Nevertheless, problems remain, especially for real world structures of softening materials like concrete. The softening gives negative stiffness and risk of bifurcations due to multiple cracks that compete to survive. Incremental-iterative techniques have difficulties in selecting and handling the local peaks and snap-backs. In this contribution, an alternative method is proposed. The softening diagram of negative slope is replaced by a saw-tooth diagram of positive slopes. The incremental-iterative Newton method is replaced by a series of linear analyses using a special scaling technique with subsequent stiffness/strength reduction per critical element. It is shown that this event-by-event strategy is robust and reliable. First, the model is shown to be objective with respect to mesh refinement. Next, the example of a large-scale dog-bone specimen in direct tension is analyzed using an isotropic version of the saw-tooth model. The model is capable of automatically providing the snap-back response. Subsequently, the saw-tooth model is extended to include anisotropy for fixed crack directions to accommodate both tensile cracking and compression strut action for reinforced concrete. Three different reinforced concrete structures are analyzed, a tension-pull specimen, a slender beam and a slab. In all cases, the model naturally provides the local peaks and snap-backs associated with the subsequent development of primary cracks starting from the rebar. The secant saw-tooth stiffness is always positive and the analysis always 'converges'. Bifurcations are prevented due to the scaling technique.

A Study on the Ultimate Strength Analysis of Damaged Tubular Members (손상원통부재(損傷圓筒部材)의 최종강도(最終强度) 해석(解析)에 관한 연구(硏究))

  • Jeom-K.,Paik;Byung-C.,Shin
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.24-34
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    • 1990
  • In this paper, the formulation of a new simplified finite element is made to analyze the ultimate strength of damaged tubular members subjected to combined axial force and end moment. A damaged tubular member that has the bending deformation and the local dent is modeled by beam elements. Tangent elastic stiffness matrix of a beam element which contains the effect of the geometric nonlinearity is derived by using the updated Lagrangian approach. Here the contribution of the stiffness in the dented area is neglected since its resistance against the external loads is considered to be small. A fully plastic interaction curve of the element under combined loads taking account of the local dent effect is selected as a yielding criterion at each nodal point. Also tangent elasto-plastic stiffness matrix of the element is formulated by plastic node method. Comparison with the present solution and the existing experimental results is made showing that the present method gives quite an accurate solution.

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Flexural performance of cold-formed square CFST beams strengthened with internal stiffeners

  • Zand, Ahmed W. Al;Badaruzzaman, W.H. Wan;Ali, Mustafa M.;Hasan, Qahtan A.;Al-Shaikhli, Marwan S.
    • Steel and Composite Structures
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    • v.34 no.1
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    • pp.123-139
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    • 2020
  • The tube outward local buckling of Concrete-Filled Steel Tube (CFST) beam under high compression stress is still considered a critical problem, especially for steel tubes with a slender section compared to semi-compact and compact sections. In this study, the flexural performance of stiffened slender cold-formed square tube beams filled with normal concrete was investigated. Fourteen (14) simply supported CFST specimens were tested under static bending loads, stiffened with different shapes and numbers of steel stiffeners that were provided at the inner sides of the tubes. Additional finite element (FE) CFST models were developed to further investigate the influence of using internal stiffeners with varied thickness. The results of tests and FE analyses indicated that the onset of local buckling, that occurs at the top half of the stiffened CFST beam's cross-section at mid-span was substantially restricted to a smaller region. Generally, it was also observed that, due to increased steel area provided by the stiffeners, the bending capacity, flexural stiffness and energy absorption index of the stiffened beams were significantly improved. The average bending capacity and the initial flexural stiffness of the stiffened specimens for the various shapes, single stiffener situations have increased of about 25% and 39%, respectively. These improvements went up to 45% and 60%, for the double stiffeners situations. Moreover, the bending capacity and the flexural stiffness values obtained from the experimental tests and FE analyses validated well with the values computed from equations of the existing standards.

Interfacial Adhesion Enhancement Process of Local Stiffness-variant Stretchable Substrates for Stretchable Electronic Packages (신축성 전자패키지용 강성도 국부변환 신축기판의 계면접착력 향상공정)

  • Park, Donghyeun;Oh, Tae Sung
    • Journal of the Microelectronics and Packaging Society
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    • v.25 no.4
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    • pp.111-118
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    • 2018
  • In order to develop a local stiffness-variant stretchable substrate with the soft PDMS/hard PDMS/FPCB configuration consisting of two stiffness-different polydimethylsiloxane (PDMS) parts and flexible printed circuit board, a FPCB was bonded to PDMS using the acrylic-silicone double-sided tape and the interfacial adhesion of the PDMS/FPCB was evaluated. The pull strength of the FPCB, which was bonded to the fully cured PDMS using the silicone adhesive of the double-sided tape, was 259 kPa and the delamination during the pull test occurred at the interface between the PDMS and the silicone adhesive. On the contrary, the bonding process, for which the FPCB was bonded using the silicone adhesive to the PDMS partially cured for 15~20 minutes at $60^{\circ}C$ and then the PDMS was fully cured for 12 hours at $60^{\circ}C$, exhibited the remarkably enhanced pull strength of 1,007~1,094 kPa. With the above mentioned bonding process, the delamination during the pull test was observed at the interface between the FPCB and the acrylic adhesive of the acrylic-silicone double sided tape.

A Study on the Ultimate Compressive Strength of Ship Plate with Local Corrosion (국부이상부식을 가진 선체판의 압괴강도에 관한 연구)

  • 고재용;남정길
    • Journal of the Korean Institute of Navigation
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    • v.22 no.3
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    • pp.65-72
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    • 1998
  • The use of high tensile steel plates is increasing in the fabrication of ship and offshore structures. In usual, plate element contributes to inplane stiffness against the action of inplane load. If the plate element has local corrosion, its load carrying capacity under inplane load is expected to be reduced. Until now, however, the research report concerned with this topic has not seen. In this study, a basic study which clarifies the influence of local corrosion on the ultimate collapse strength of plate element subjected to axial compression is carried out by using elasto-platic large deformation finite element analysis. In particular, influence of corrosive area, corrosive thickness and slenderness ratio of dented plate is investigated.

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Seismic Behavior Analysis of a Bridge Considering Bridge Scour (기초세굴의 영향을 고려한 교량시스템의 지진거동분석)

  • 김상효;마호성;이상우;김호상
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.537-544
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    • 2001
  • Bridge dynamic behaviors are examined under seismic excitations including the local scour effect. The corresponding simplified mechanical model, which can also consider the effect of other influence elements, is proposed to simulate the bridge motions. The scour depth around the pier is estimated by the CSU equation recommended by the HEC-18, and the local scour effect upon global bridge motions is then investigated by applying various foundation stiffness based upon the reduced embedded depths. From the results, it is found that seismic responses of a bridge with the same scour depth level for both piers increase as the scour depth increase due to the local scour effect. The scour effect is found to be significant under weak excitations and still to be quite notable even for moderate excitations.

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Computational simulations of concrete behaviour under dynamic conditions using elasto-visco-plastic model with non-local softening

  • Marzec, Ireneusz;Tejchman, Jacek;Winnicki, Andrzej
    • Computers and Concrete
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    • v.15 no.4
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    • pp.515-545
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    • 2015
  • The paper presents results of FE simulations of the strain-rate sensitive concrete behaviour under dynamic loading at the macroscopic level. To take the loading velocity effect into account, viscosity, stress modifications and inertial effects were included into a rate-independent elasto-plastic formulation. In addition, a decrease of the material stiffness was considered for a very high loading velocity to simulate fragmentation. In order to ensure the mesh-independence and to properly reproduce strain localization in the entire range of loading velocities, a constitutive formulation was enhanced by a characteristic length of micro-structure using a non-local theory. Numerical results were compared with corresponding laboratory tests and available analytical formulae.

Experimental study on shear behavior of I-girder with concrete-filled tubular flange and corrugated web

  • Shao, Y.B.;Wang, Y.M.
    • Steel and Composite Structures
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    • v.22 no.6
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    • pp.1465-1486
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    • 2016
  • Conventional plate I-girders are sensitive to local buckling of the web when they are subjected mainly to shear action because the slenderness of the web in out-of-plane direction is much bigger. The local buckling of the web can also cause the distorsion of the plate flange under compression as a thin-walled plate has very low torsional stiffness due to its open section. A new I-girder consisted of corrugated web, a concrete-filled rectangular tubular flange under compression and a plate flange under tension is presented to improve its resistance to local buckling of the web and distorsion of the flat plate flange under compression. Experimental tests on a conventional plate I-girder and a new presented I-girder are conducted to study the failure process and the failure mechanisms of the two specimens. Strain developments at some critical positions, load-lateral displacement curves, and load-deflection curves of the two specimens have all be measured and analyzed. Based on these results, the failure mechanisms of the two kinds of I-girders are discussed.

Small-scale effect on the forced vibration of a nano beam embedded an elastic medium using nonlocal elasticity theory

  • Belmahi, Samir;Zidour, Mohammed;Meradjah, Mustapha
    • Advances in aircraft and spacecraft science
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    • v.6 no.1
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    • pp.1-18
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    • 2019
  • This present article represents the study of the forced vibration of nanobeam of a single-walled carbon nanotube (SWCNTs) surrounded by a polymer matrix. The modeling was done according to the Euler-Bernoulli beam model and with the application of the non-local continuum or elasticity theory. Particulars cases of the local elasticity theory have also been studied for comparison. This model takes into account the different effects of the interaction of the Winkler's type elastic medium with the nanobeam of carbon nanotubes. Then, a study of the influence of the amplitude distribution and the frequency was made by variation of some parameters such as (scale effect ($e_0{^a}$), the dimensional ratio or aspect ratio (L/d), also, bound to the mode number (N) and the effect of the stiffness of elastic medium ($K_w$). The results obtained indicate the dependence of the variation of the amplitude and the frequency with the different parameters of the model, besides they prove the local effect of the stresses.