• Title/Summary/Keyword: plastic modulus

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Distribution of elastoplastic modulus of subgrade reaction for analysis of raft foundations

  • Rahgooy, Kamran;Bahmanpour, Amin;Derakhshandi, Mehdi;Bagherzadeh-Khalkhali, Ahad
    • Geomechanics and Engineering
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    • v.28 no.1
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    • pp.89-105
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    • 2022
  • The behavior of the soil subgrade is complex and irregular against loads. When modeling, the soil is often replaced by a more straightforward system called a subgrade model. The Winkler method of linear elastic springs is a popular method of soil modeling in which the spring constant shows the modulus of subgrade reaction. In this research, the factors affecting the distribution of the modulus of subgrade reaction of elastoplastic subgrades are examined. For this purpose, critical theories about the modulus of subgrade reaction were examined. A square raft foundation on a sandy soil subgrade with was analyzed at different internal friction angles and Young's modulus values using ABAQUS software. To accurately model the actual soil behavior, the elastic, perfectly plastic constitutive model was applied to investigate a foundation on discrete springs. In order to increase the accuracy of soil modeling, equations have been proposed for the distribution of the subgrade reaction modulus. The constitutive model of the springs is elastic, perfectly plastic. It was observed that the modulus of subgrade reaction under an elastic load decreased when moving from the corner to the center of the foundation. For the ultimate load, the modulus of subgrade reaction increased as it moved from the corner to the center of the foundation.

Mechanics of kinking and buckling of plastic board drains

  • Madhav, Madhira R.;Park, Yeong Mog;Miura, Norihiko
    • Structural Engineering and Mechanics
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    • v.3 no.5
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    • pp.429-443
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    • 1995
  • The deformational response of plastic board drains installed to accelerate consolidation of soft soils, is examined as a problem of downdrag. The drain is modelled as a beam-column in which the axial load increases nonlinearly with depth. The soil response is represented by the Winkler medium whose coefficient of subgrade modulus increases linearly with depth. The governing equations for the drain-soil system are derived and solved as an eigenvalue problem. The critical buckling loads and the shape of the drain are obtained as functions of the normalized subgrade modulus of the soil at the top, the parameters signifying the variation of axial load along the length of the drain and the increase of subgrade modulus with depth. The derived deformed shapes of the drain are consistent with the observed ones.

Solution for surrounding rock of strain-softening considering confining pressure-dependent Young's modulus and nonlinear dilatancy

  • Liang, Peng;Gao, Yongtao;Zhou, Yu;Zhu, Chun;Sun, Yanhua
    • Geomechanics and Engineering
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    • v.22 no.4
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    • pp.277-290
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    • 2020
  • This paper presents an elastic-plastic solution for the circular tunnel of elastic-strain softening behavior considering the pressure-dependent Young's modulus and the nonlinear dilatancy. The proposed solution is verified by the results of the field measuring and numerical simulation from a practical project, and a published closed-form analysis solution. The influence of each factor is discussed in detail, and the ability of Young's modulus and dilatancy characterizing the mechanical response of surrounding rock is investigated. It is found that, in low levels of support pressure, adopting the constant Young's modulus model will seriously misestimate the surrounding rock deformation. Using the constant dilatancy model will underestimate the surrounding rock deformation. When adopting the constant dilatancy model, as the dilation angle increases, the range of the plastic region increases, and the surrounding rock deformation weakens. When adopting the nonlinear dilatancy, the plastic region range and the surrounding rock deformation are the largest. The surrounding rock deformation using pressure-dependent Young's modulus model is between those resulted from two constant Young's modulus models. The constant α of pressuredependent Young's modulus model is the main factor affecting the tunnel displacement. The influence of α using a constant dilatancy model is much more apparent than that using a nonlinear dilatancy model.

Study on Characteristics of the Bodies composed of Chamotte-Plastic Clay-Talc and added Agalmatolite System (Chamotte-점토-골석계 및 랍석 첨가계 소결체의 특성에 관한 연구)

  • 박금철;최영섭
    • Journal of the Korean Ceramic Society
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    • v.14 no.4
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    • pp.215-225
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    • 1977
  • In this study, we are observe to the sagger which is composed of cordierite-mullite system. And especialy, we investigated the characteristics of the body which composed of Chamotte-Kaolin-Plastic clay-Talc (or Clinochlore) system and Chamotte-Kaolin-Plastic clay-Agalmatolite-Talc (or Clinochlore) system. The obtained results are as follows. 1. Modulus of rupture and apparent porosity were improved by particle size of talc and clinochlore in order that -16 mesh, -6 mesh, 6-16 mesh. 2. When the body composed of talc, the modulus of rupture was increased as firing temperature was rising up but composed of clnochlore, it was reversed. 3. When added to the agalmatolite, firing shrinkage, modulus of rupture and apparent porosity were improved. 4. Mineral phases of samples fired at 125$0^{\circ}C$ above consist of cordierite, mullite and $\alpha$-cristobalite.

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Exploring Reliability of Wood-Plastic Composites: Stiffness and Flexural Strengths

  • Perhac, Diane G.;Young, Timothy M.;Guess, Frank M.;Leon, Ramon V.
    • International Journal of Reliability and Applications
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    • v.8 no.2
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    • pp.153-173
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    • 2007
  • Wood-plastic composites (WPC) are gaining market share in the building industry because of durability/maintenance advantages of WPC over traditional wood products and because of the removal of chromated copper arsenate (CCA) pressure-treated wood from the market. In order to ensure continued market share growth, WPC manufacturers need greater focus on reliability, quality, and cost. The reliability methods outlined in this paper can be used to improve the quality of WPC and lower manufacturing costs by reducing raw material inputs and minimizing WPC waste. Statistical methods are described for analyzing stiffness (tangent modulus of elasticity: MOE) and flexural strength (modulus of rupture: MOR) test results on sampled WPC panels. Descriptive statistics, graphs, and reliability plots from these test data are presented and interpreted. Sources of variability in the MOE and MOR of WPC are suggested. The methods outlined may directly benefit WPC manufacturers through a better understanding of strength and stiffness measures, which can lead to process improvements and, ultimately, a superior WPC product with improved reliability, thereby creating greater customer satisfaction.

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Determination of Mechanical Properties of Equal Channel Angular Pressed Aluminum Alloys in Nano-surface Region (나노표면 영역에서의 ECAP 변형된 알루미늄합금의 기계적 물성변화 측정)

  • An, SeongBin;Kim, ChungSeok
    • Journal of the Korean Society for Heat Treatment
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    • v.32 no.3
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    • pp.113-117
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    • 2019
  • The effects of severe plastic deformation and heat treatment on the mechanical properties of Al 5052 and 6005 alloys were investigated using the metallurgical technique and nano-indentation technique in nano-surface region. Equal channel angular pressing (ECAP) was used to apply severe plastic deformation to the aluminum alloys in order to obtain fine grain sized materials. The elastic modulus was measured and interpreted in relation to the metallurgical observation. The elastic modulus increased after ECAP process due to evolution of the fine grains. However, the elastic modulus decreased after heat treatment due to generation of coarsened precipitates on the grain boundaries.

The Effect of Free Silica on the Strength of Chamotte Refractory (Chamotte질 내화물의 강도에 미치는 유이 Silica의 영향)

  • 박금철;최영섭
    • Journal of the Korean Ceramic Society
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    • v.13 no.1
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    • pp.35-44
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    • 1976
  • The effect of quartz which exists in clays, especially in kaolin used for the production of chamotte sagger, on the strength of refractory was examined. In this study, a mixture of chamotte 50%, kaolin 25%, plastic clay 25% in ternary component system was selected as a batch composition. To this mixture 1%, 3% and 5% of feldspar and sericite were added respectively. The plastic clay used here was separated under 170 mesh by dry process. Feldspar and sericite were separated under 325 mesh by dry process. Feldspar and sericite were separated under 325 mesh by dry process. In order to change the particle size and the content of quartz, the kaolin was separated under 60, 115, 170 and 325 mesh by wet process, substituted quartz for coarse parts of it. Chamotte was classified into three grades, coarse (5-10mesh): medium (10-20mesh): fine(20-115mesh) and the ratio was 1:1:1. Samples were formed in 0.8xIx10cm size with 12.5% water at 160kg/$\textrm{cm}^2$ pressure, and fired at 130$0^{\circ}C$ for 1 hr. The fired samples were ivnestigated by means of x-ray diffraction analysis and microscopic observation, and the physical properties of them were also examined, such as firing shrinkage, apparent specific gravity and bulk specific gravity, apparent porosity, water absorption and modulus of rupture. The obtained results are as follows: 1. When screened kaolin with low content of quartz was added to fixed chamotte-plastic clay system, the sample lowered modulus of rupture and increased apparent porosity as the size of kaolin became finer. 2. When kaolin under 325 mesh with 7.2-15.81% quartz between 60-325 mesh was added to fixed chamotte-plastic clay system, the sample had higher apparent porosity and lower modulus of ruputure as the size and the amount of quartz became larger. 3. The addition of feldspar and sericite to chamotte-plastic clay system improved apparent porosity and modulus of rupture. The effect of feldspar was better when quartz content was low, although that of sericite was better than quartz content was high.

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Contact analysis of spherical ball and a deformable flat model with the effect of tangent modulus

  • Sathish Gandhi, V.C.;Ramesh, S.;Kumaravelan, R.;Thanmanaselvi, M.
    • Structural Engineering and Mechanics
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    • v.44 no.1
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    • pp.61-72
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    • 2012
  • The paper is on contact analysis of a spherical ball with a deformable flat, considering the effect of tangent modulus on the contact parameters of a non-adhesive frictionless elastic-plastic contact. The contact analysis of this model has been carried out using analysis software Ansys and Abaqus. The contact parameters such as area of contact between two consecutive steps, volume of bulged material are evaluated from the formulated equations. The effect of the tangent modulus is considered for determining these parameters. The tangent modulus are accounted between 0.1E and 0.5E of materials E/Y value greater than 500 and less than 1750. Result shows that upto an optimal tangent modulus values the elastic core push up to the free surface in the flat. The simulation is also carried out in Abaqus and result provide evidence for the volume of bulged material in the contact region move up and flow into the free surface of the flat from the contact edge between the ball and flat. The strain energy of the whole model is varied between 20 to 40 percentage of the stipulated time for analysis.

Determination of Elastic Modulus of Equal-Channel-Angular-Pressed Aluminum 5052 Alloy by Acoustic Material Signature (음향재료신호를 이용한 강소성변형된 알루미늄 5052 합금의 탄성계수 측정)

  • Kim, Chung-Seok;Park, Ik-Keun;Jhang, Kyoung-Young;Miyasaka, Chiaki
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.2
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    • pp.146-154
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    • 2010
  • The effects of severe plastic deformation, equal channel angular pressing, and annealing of Al 5052 alloy on elastic modulus have been studied. The AI 5052 alloy was plastically deformed by ECAP method after solution treatment, and then finally annealing heat treated. Elastic modulus was measured by conventional tensile and nano-indentation test, and also measured on the surface of the specimen using acoustic material signature of the acoustic microscope. The variation in the elastic modulus influenced by plastic deformation and heat treatment, inaccessible by the conventional techniques, was successfully measured by acoustic material signature and obtained the elastic modulus depending on crystal orientation at each grain.