• 제목/요약/키워드: Equilibrium investigation

검색결과 224건 처리시간 0.026초

Collapse behaviour of three-dimensional brick-block systems using non-linear programming

  • Baggio, Carlo;Trovalusci, Patrizia
    • Structural Engineering and Mechanics
    • /
    • 제10권2호
    • /
    • pp.181-195
    • /
    • 2000
  • A two-step procedure for the application of non linear constrained programming to the limit analysis of rigid brick-block systems with no-tension and frictional interface is implemented and applied to various masonry structures. In the first step, a linear problem of programming, obtained by applying the upper bound theorem of limit analysis to systems of blocks interacting through no-tension and dilatant interfaces, is solved. The solution of this linear program is then employed as initial guess for a non linear and non convex problem of programming, obtained applying both the 'mechanism' and the 'equilibrium' approaches to the same block system with no-tension and frictional interfaces. The optimiser used is based on the sequential quadratic programming. The gradients of the constraints required are provided directly in symbolic form. In this way the program easily converges to the optimal solution even for systems with many degrees of freedom. Various numerical analyses showed that the procedure allows a reliable investigation of the ultimate behaviour of jointed structures, such as stone masonry structures, under statical load conditions.

Highly efficient adsorptive removal of uranyl ions from aqueous solutions using dicalcium phosphate nanoparticles as a superabsorbent

  • Saghatchi, Hadis;Ansari, Reza;Mousavi, H. Zavvar
    • Nuclear Engineering and Technology
    • /
    • 제50권7호
    • /
    • pp.1112-1119
    • /
    • 2018
  • Dicalcium phosphate nanoparticles (DCP-NPs) was synthesized chemically and used for adsorptive removal of uranyl ions from aqueous solutions in a batch system. A commercial grade of DCP (monetite) was also employed for comparison. The synthesized and commercial adsorbents (S-DCP and C-DCP) were characterized by FT-IR, SEM and XRD techniques. The investigation of adsorption isotherms indicated that the maximum adsorption capacities ($q_m$) for C-DCP and S-DCP were 714.3 and $666.7mg\;g^{-1}$ (at 293 K), respectively. The experimental kinetics were well-described by the pseudo-second-order kinetic and the equilibrium data were fitted with both Langmuir and Freundlich adsorption models. Thermodynamic studies indicated that the adsorption of uranyl ions on the monetite surface was a spontaneous exothermic process. The exhausted adsorbents could be regenerated by washing with $0.10mol\;L^{-1}$ NaOH.

Composite aluminum-slab RC beam bonded by a prestressed hybrid carbon-glass composite material

  • Rabahi Abderezak;Tahar Hassaine Daouadji;Bensatallah Tayeb
    • Structural Engineering and Mechanics
    • /
    • 제85권5호
    • /
    • pp.573-592
    • /
    • 2023
  • This paper presents a careful theoretical investigation into interfacial stresses in composite aluminum-slab reinforced concrete beam bonded by a prestressed hybrid carbon-glass composite material. The model is based on equilibrium and deformations compatibility requirements in and all parts of the strengthened beam, i.e., the aluminum beam, the slab reinforced concrete, the hybrid carbon-glass composite plate and the adhesive layer. The theoretical predictions are compared with other existing solutions. Numerical results from the present analysis are presented both to demonstrate the advantages of the present solution over existing ones and to illustrate the main characteristics of interfacial stress distributions. It is shown that the stresses at the interface are influenced by the material and geometry parameters of the composite beam. This research is helpful for the understanding on mechanical behaviour of the interface and design of the hybrid structures.

개별요소법에 의한 다층지반의 지지력 산정 (Evaluation of Bearing Capacity of Multi-layered Soil Deposits)

  • 박준;지성현;이승래;박현일
    • 한국지반공학회논문집
    • /
    • 제22권6호
    • /
    • pp.63-69
    • /
    • 2006
  • 본 연구에서는 얕은 기초의 지지력을 평가할 수 있는 개별요소법에 근거한 해석기법이 제안되었다. 제안된 해석기법은 토체 간의 거동에 관한 적합조건을 탄소성 Winkler 스프링으로 모사함으로써 파괴면에서의 응력상태와 극한지지력을 함께 구할 수 있다. 기법의 적용성을 검토하기 위하여 단일층 및 이층지반에 설치된 얕은 기초의 지지력 해석을 수행하였다.

Theoretical Investigation of the Hydrogen-bonded Halide-acetylene Anion Complexes

  • Byeong-Seo Cheong
    • 대한화학회지
    • /
    • 제68권2호
    • /
    • pp.65-73
    • /
    • 2024
  • The halide-acetylene anions, X--HCCH (X = F, Cl, and Br) have been studied by using several different ab initio and DFT methods to determine structures, hydrogen-bond energies, vibrational frequencies of the anion complexes. Although the halide-acetylene complexes all have linear equilibrium structures, it is found that the fluoride complex is characterized with distinctively different structure and interactions compared to those of the chloride and bromide complexes. The performance of various density functionals on describing ionic hydrogen-bonded complexes is assessed by examining statistical deviations with respect to high level ab initio CCSD(T) results as reference. The density functionals employed in the present work show considerably varying degrees of performance depending on the properties computed. The performances of each density functional on geometrical parameters related with the hydrogen bond, hydrogen-bond energies, and scaled harmonic frequencies of the anion complexes are examined and discussed based on the statistical deviations.

용탕단조 Al-Cu-Si-Mg합금의 열처리시 제2응고상의 분해거동 (Decomposition Behavior of Secondary Solidification Phase During Heat Treatment of Squeeze Cast Al-Cu-Si-Mg)

  • 김유찬;김도향;한요섭;이호인
    • 한국주조공학회지
    • /
    • 제17권6호
    • /
    • pp.560-568
    • /
    • 1997
  • The dissolution behavior of secondary solidification phases in squeeze cast Al-3.9wt%Cu-1.5wt%Si-1.0wt%Mg has been studied using a combination of optical microscope, image analyzer, scanning electron microscope(SEM), energy dispersive spectrometer(EDS), X-ray diffractometer(XRD) and differential thermal analyzer (DTA). Special emphasis was placed on the investigation of the effects of the nonequilibrium heat treatment on the dissolution of the second solidification phases. Ascast microstructure consisted of primary solidification product of ${\alpha}-Al$ and secondary solidification products of $Al_2Cu$, $Mg_2Si$ and $Al_2CuMg$. Equilibrium and non-equilibrium solution treatments were carried out at the temperatures of $495^{\circ}C$, $502^{\circ}C$ and $515^{\circ}C$ for 3 to 5 hours. The amount of the dissolved secondary phases increased with increasing solution treatment temperature, for example, area fractions of $Al_2Cu$, $Mg_2Si$ and $Al_2CuMg$ were approximately 0%, 1.6% and 4.2% after solution treatment at $495^{\circ}C$ for 5hours, and were approximately 0%, 0.36% and 2% after solution treatment at $515^{\circ}C$ for 5hours. The best combination of tensile properties was obtained when the as-cast alloy was solution treated at $515^{\circ}C$ for 3hours followed by aging at $180^{\circ}C$ for 10 hours. Detailed DTA and TEM study showed that the strengthening behavior during aging was due to enhanced precipitation of the platelet type fine ${\theta}'$ phase.

  • PDF

Post-buckling responses of elastoplastic FGM beams on nonlinear elastic foundation

  • Trinh, Thanh-Huong;Nguyen, Dinh-Kien;Gan, Buntara S.;Alexandrov, S.
    • Structural Engineering and Mechanics
    • /
    • 제58권3호
    • /
    • pp.515-532
    • /
    • 2016
  • The elastoplastic response of functionally graded material (FGM) beams resting on a nonlinear elastic foundation to an eccentric axial load is investigated by using the finite element method. The FGM is assumed to be formed from ceramic and metal phases with their volume fraction vary in the thickness direction by a power-law function. A bilinear elastoplastic behavior is assumed for the metallic phase, and the effective elastoplastic properties of the FGM are evaluated by Tamura-Tomota-Ozawa (TTO) model. Based on the classical beam theory, a nonlinear finite beam element taking the shift in the neutral axis position into account is formulated and employed in the investigation. An incremental-iterative procedure in combination with the arc-length control method is employed in computing the equilibrium paths of the beams. The validation of the formulated element is confirmed by comparing the equilibrium paths obtained by using the present element and the one available in the literature. The numerical results show that the elastoplastic post-buckling of the FGM beams is unstable, and the post-buckling strength is higher for the beams associated with a higher ceramic content. Different from homogeneous beams, yielding in the FGM beam occurs in the layer near the ceramic layer before in the layer near metal surface. A parametric study is carried out to highlight the effect of the material distribution, foundation support and eccentric ratio on the elastoplastic response of the beams.

비정질상인 Ti5Si3 MA분말의 가압소결 동안 소결체의 치밀화 촉진현상 요인에 대한 조사 (Investigation of Factors for Promoting Densification of the Sintered Compact during Pressurized Sintering of the Amorphous Ti5Si3 MA Powder)

  • 한창석;진성윤;권혁구
    • 한국재료학회지
    • /
    • 제30권6호
    • /
    • pp.301-307
    • /
    • 2020
  • In this study, factors considered to be causes of promotion of densification of sintered pellets identified during phase change are reviewed. As a result, conclusions shown below are obtained for each factor. In order for MA powder to soften, a temperature of 1,000 K or higher is required. In order to confirm the temporary increase in density throughout the sintered pellet, the temperature rise due to heat during phase change was found not to have a significant effect. While examining the thermal expansion using the compressed powder, which stopped densification at a temperature below the MA powder itself, and the phase change temperature, no shrinkage phenomenon contributing to the promotion of densification is observed. The two types of powder made of Ti-silicide through heat treatment are densified only in the high temperature region of 1,000 K or more; it can be estimated that this is the effect of fine grain superplasticity. In the densification of the amorphous powder, the dependence of sintering pressure and the rate of temperature increase are shown. It is thought that the specific densification behavior identified during the phase change of the Ti-37.5 mol.%Si composition MA powder reviewed in this study is the result of the acceleration of the powder deformation by the phase change from non-equilibrium phase to equilibrium phase.

혼합냉매의 열역학적 물성치 추산에 관한 연구 (Studies on the Estimation of Theromodynamic Properties for the Non-Azeotropic Refrigerant Mixtures)

  • 김민수;김동섭;노승탁;김욱중;윤재호
    • 대한기계학회논문집
    • /
    • 제14권5호
    • /
    • pp.1337-1348
    • /
    • 1990
  • 본 연구에서는 Peng-Robinson 상태 방정식을 기본으로 하여 먼저 단일 성분의 냉매에 대한 열역학적 물성치를 구한 뒤 그 정확도를 검증하고, 동일한 형태의 상태식 과 적절한 혼합 법칙을 통해 혼합냉매의 기액 평형 상태와 냉동 및 열펌프 사이클 해 석에 필요한 엔탈피와 엔트로피 등의 열역학적 물성치를 추산하고자 한다.단일 성 분의 냉매로서는 R13B1, R22, R12, R152a, R114를 택하였고, 혼합냉매로서는 앞의 단 일성분 냉매를 혼합한 것 중에서 그 기초적인 실험 자료가 아미 알려진 R13B1/R114, R22/R114, R12/R114 R152a/R114, R13B1/R152a 및 R13B1/R12를 택하였다. 이는 추후 상이한 냉매를 단일식으로 나타낼 수 있는 대응상태의 원리를 사용한 열물성 계산의 기반이 될 수 있을 것이다.

Small- and large-scale analysis of bearing capacity and load-settlement behavior of rock-soil slopes reinforced with geogrid-box method

  • Moradi, Gholam;Abdolmaleki, Arvin;Soltani, Parham
    • Geomechanics and Engineering
    • /
    • 제18권3호
    • /
    • pp.315-328
    • /
    • 2019
  • This paper presents an investigation on bearing capacity, load-settlement behavior and safety factor of rock-soil slopes reinforced using geogrid-box method (GBM). To this end, small-scale laboratory studies were carried out to study the load-settlement response of a circular footing resting on unreinforced and reinforced rock-soil slopes. Several parameters including unit weight of rock-soil materials (loose- and dense-packing modes), slope height, location of footing relative to the slope crest, and geogrid tensile strength were studied. A series of finite element analysis were conducted using ABAQUS software to predict the bearing capacity behavior of slopes. Limit equilibrium and finite element analysis were also performed using commercially available software SLIDE and ABAQUS, respectively to calculate the safety factor. It was found that stabilization of rock-soil slopes using GBM significantly improves the bearing capacity and settlement behavior of slopes. It was established that, the displacement contours in the dense-packing mode distribute in a broader and deeper area as compared with the loose-packing mode, which results in higher ultimate bearing load. Moreover, it was found that in the loose-packing mode an increase in the vertical pressure load is accompanied with an increase in the soil settlement, while in the dense-packing mode the load-settlement curves show a pronounced peak. Comparison of bearing capacity ratios for the dense- and loose-packing modes demonstrated that the maximum benefit of GBM is achieved for rock-soil slopes in loose-packing mode. It was also found that by increasing the slope height, both the initial stiffness and the bearing load decreases. The results indicated a significant increase in the ultimate bearing load as the distance of the footing to the slope crest increases. For all the cases, a good agreement between the laboratory and numerical results was observed.