• Title/Summary/Keyword: Complex Elastic Modulus

Search Result 76, Processing Time 0.025 seconds

Bending of steel fibers on partly supported elastic foundation

  • Hu, Xiao Dong;Day, Robert;Dux, Peter
    • Structural Engineering and Mechanics
    • /
    • v.12 no.6
    • /
    • pp.657-668
    • /
    • 2001
  • Fiber reinforced cementitious composites are nowadays widely applied in civil engineering. The postcracking performance of this material depends on the interaction between a steel fiber, which is obliquely across a crack, and its surrounding matrix. While the partly debonded steel fiber is subjected to pulling out from the matrix and simultaneously subjected to transverse force, it may be modelled as a Bernoulli-Euler beam partly supported on an elastic foundation with non-linearly varying modulus. The fiber bridging the crack may be cut into two parts to simplify the problem (Leung and Li 1992). To obtain the transverse displacement at the cut end of the fiber (Fig. 1), it is convenient to directly solve the corresponding differential equation. At the first glance, it is a classical beam on foundation problem. However, the differential equation is not analytically solvable due to the non-linear distribution of the foundation stiffness. Moreover, since the second order deformation effect is included, the boundary conditions become complex and hence conventional numerical tools such as the spline or difference methods may not be sufficient. In this study, moment equilibrium is the basis for formulation of the fundamental differential equation for the beam (Timoshenko 1956). For the cantilever part of the beam, direct integration is performed. For the non-linearly supported part, a transformation is carried out to reduce the higher order differential equation into one order simultaneous equations. The Runge-Kutta technique is employed for the solution within the boundary domain. Finally, multi-dimensional optimization approaches are carefully tested and applied to find the boundary values that are of interest. The numerical solution procedure is demonstrated to be stable and convergent.

Nondestructive Evaluation of Thermal Shock Damage for Alumina Ceramics (알루미나 세라믹에 대한 열충격 손상의 비파괴적 평가)

  • Lee, Jun-Hyeon;Lee, Jin-Gyeong;Song, Sang-Heon
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.8
    • /
    • pp.1189-1196
    • /
    • 2001
  • The objective of this paper is to investigate the applicability of acoustic emission(AE) technique to monitor the progress of the thermal shock damage on alumina ceramic. For this purpose, alumina ceramic specimen was heated in the furnace and then was quenched in the water tank. When the specimen was quenched in the water tank, complex AE signals due to the initiation of micro-cracks and boiling effect were generated by the progress of thermal shock damage. These mixed AE signals have to be classified for monitoring the degree of the thermal shock damage of alumina ceramics. In this paper, the mixed AE signals generated from both the boiling effect and the crack initiation under thermal shock test was analyzed. The characteristics of AE signals were also discussed by considering the variation of bending strength and Yongs modulus of specimens.

Study on the Development of Cosmetic Emulsion Cream for Patients with Atopic Dermatitis using Scutellaria Baicalensis (황금(黃芩)을 이용한 아토피성 피부용 한방화장품 제형화에 관한 연구)

  • Park, Chan-Ik
    • The Korea Journal of Herbology
    • /
    • v.21 no.2
    • /
    • pp.47-53
    • /
    • 2006
  • Objectives : This study was conducted to determine if Scutellaria baicalensis can be used in cosmetic emulsion cream for patients with atopic dermatitis. Methods : Scutellaria baicalensis extract was obtained with the use of butylene glycol through the pressurized solvent extraction(PSE). The antioxidative activity was assessed through SOD-like activity measurement and skin irritating potential was tested using human patch test. Antimicrobial activity was measured by the clear zone formed against Staphylococcus aureus and Escherichia coli and the rheological effects on the emulsion creams were examined using oscillation test. Results : The SOD-like activity increased dose-dependently and was about 90% at 1,000ppm of Scutellaria baicalesis extract. And Scutellaria baicalensis extract did not show any potential to be irritating to the human skin, but it could not be used as an antimicrobial agent for its poor antimicrobial activity against Staphylococcus aureus. The complex modulus decreased by 1,000 pascals and the loss angle also decreased by 20% with the addition of Scutellaria baicalensis extract into the cosmetic emulsion creams, that is, the extract can confer more elastic property on the vehicle. Conclusion : From those results, Scutellaria baicalensis extract can be effectively used as an antioxidant and reinforces the elastic skincare film formed by the application of cream for patients with atopic dermatitis.

  • PDF

Effects of Carbon Black on Mechanical Properties and Curing Behavior of Liquid Silicone Rubber (LSR) (Carbon Black 첨가에 따른 액상 실리콘 고무(LSR)의 기계적 특성 및 경화 거동 분석)

  • Beom-Joo Lee;Seon-Ju Kim;Hyeong-Min Yoo
    • Design & Manufacturing
    • /
    • v.17 no.2
    • /
    • pp.27-32
    • /
    • 2023
  • Liquid silicon rubber (LSR) has fine thermal compatibility and is widely used in various fields such as medical care and automobiles because it is easy to implement products with good fluidity. With the recent development of flexible sensors, the focus has been on manufacturing conductive elastomers, such as silicone as elastic materials, and carbon black, CNT, and graphene are mainly used as nanomaterials that impart conductive phases. In this study, mechanical behavior and curing behavior were measured and analyzed to manufacture a CB-LSR complex by adding Carbon Black to LSR and to identify properties. As a result of the compression test, the elastic modulus tended to increase as carbon black was added. When the swelling test and the compression set test were conducted, the swelling rate tended to decrease as the content of carbon black increased, and the compression set tended to increase. In addition, DSC measurements showed that the total amount of reaction heat increased slightly as the carbon black content increased. It is considered that carbon black was involved in the crosslinking of LSR to increase the crosslinking density and have a positive effect on oil resistance reinforcement.

Mechanical damage evolution and a statistical damage constitutive model for water-weak sandstone and mudstone

  • Lu yuan Wu;Fei Ding;Jian hui Li;Wei Qiao
    • Geomechanics and Engineering
    • /
    • v.38 no.1
    • /
    • pp.45-56
    • /
    • 2024
  • The weakening effect of water on rocks is one of the main factors inducing deformation and failure in rock engineering. To clarify this weakening effect, immersion tests and post-immersion triaxial compression tests were conducted on sandstone and mudstone. The results showed that the strength of water-immersed sandstone decreases with increasing immersion time, exhibiting an exponential relationship. Similarly, the strength of water-immersed mudstone decreases with increasing environmental humidity, also following an exponential relationship. Subsequently, a statistical damage model for water-weakened rocks was proposed, changes in elastic modulus to describe the weakening effect of water. The model effectively simulated the stress-strain relationships of water-affected sandstone and mudstone under compression. The R2 values between the theoretical and experimental peak values ranged from 0.962 to 0.996, and the MAPE values fell between 3.589% and 9.166%, demonstrating the model's effectiveness and reliability. The damage process of water-saturated rocks corresponds to five stages: compaction stage - no damage, elastic stage - minor damage, crack development stage - rapid damage increase, post-peak residual stage - continuous damage increase, and sliding stage - damage completion. This study provides a foundational reference for researching the fracture characteristics of overlying strata during coal mining under complex hydrogeological conditions.

Preparation and Stabilization of an O/W Emulsion Using Liquid Crystalline Phases (액정상을 이용한 O/W형 에멀젼의 제조 및 제형 안정화에 관한 연구)

  • An, Bong-Jeun;Lee, Jin-Tae;Lee, In-Chol;Kwak, Jae-Hoon;Park, Jung-Mi;Park, Chan-Ik
    • Journal of the Korean Applied Science and Technology
    • /
    • v.21 no.1
    • /
    • pp.31-36
    • /
    • 2004
  • Liquid crystalline phases were formed from acylglutamate; polyglyceryl-10 myristate and glycerine mixture and they were used as a base material for preparing an O/W emulsion. When an oil phase is added into the liquid crystalline phases, it was inserted into the dispersed liquid crystal droplets rather than stayed outside the liquid crystals, which can be known by the fact that the size of liquid crystal droplets increases with the increasing oil phase content. Along with the increase in the droplet size, the complex modulus increases from 100 to 350 pascals and the loss angle decreases from 60 to 24 degrees, from which it can be known that the increase in the internal phase volume results in the increase in the elastic property of oil in liquid crystalline-phases (O/LC). When the water phase was lastly added into the O/LC phase, the emulsification occurred to form a O/W emulsion and the averaged particle size of the O/W emulsion changes from 22.5nm to 538nm with the addition of water phase. The results from the droplet size measurements and stability tests under accelerated conditions such as high temperature show that the obtained O/W emulsion is very consistent with time.

Analysis for Residual Twisting Moment in a Steel Cord during Twisting Wires (와이어의 연선공정시 스틸 코드에서의 잔류 비틀림 모멘트의 해석)

  • Lee, Gyu-Nam;Lee, Hyeong-Man;Kim, Gi-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.2 s.173
    • /
    • pp.403-410
    • /
    • 2000
  • The effects of various factors were studied on the process of a steel cord by twisting wires. To remove residual twisting moment after the steel cord process, the twisting angles of residual elasti c twisting and overtwisting were measured and compared with finite element results. The agreement between experimental data and finite element calculations was good for the angles of residual elastic twisting and over-twisting. The stress distributions in a steel cord under complex loading conditions were also obtained by using the finite element analysis.

Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses (동적응답을 최소화하는 비구속형 제진보의 제진부위 최적설계)

  • Lee, Doo-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2005.05a
    • /
    • pp.656-661
    • /
    • 2005
  • An optimization formulation of unconstrained damping treatment on beams is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. The loss factors of partially covered unconstrained beam are calculated by the modal strain energy method. Vibration responses are calculated by using the modal superposition method, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in minimizing vibration responses with unconstrained damping layer treatment.

  • PDF

Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses (진동응답을 최소화하는 비구속형 제진보의 제진 부위 최적설계)

  • Lee, Doo-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.15 no.7 s.100
    • /
    • pp.829-835
    • /
    • 2005
  • An optimization formulation of unconstrained damping treatment on beam is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. Vibration responses are calculated by using the modal superposition principle, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in suppressing nitration responses by means of unconstrained damping layer treatment.

Effects of Abrasive Size and Impact Angle on the Contact Stress in Abrasive Machining Process (입자연마가공에서의 입자크기 및 충돌각의 영향에 대한 고찰)

  • Kwak, Haslomi;Kim, Wook-Bae;Sung, In-Ha
    • Tribology and Lubricants
    • /
    • v.27 no.1
    • /
    • pp.34-39
    • /
    • 2011
  • In this study, finite element analysis of particle-surface collision using 2-dimensional elements was performed to observe the effects of abrasive size and impact angle. The result of the simulation on the change in abrasive size revealed that larger abrasive particle induced larger contact stress due to force transfer through slurry fluid as the particle moved and pushed the fluid. This observation brought an important finding that the slurry fluid could make the workpiece surface soften and then change the mechanical properties of the surface layer such as elastic modulus and yield strength. As for the impact angle, it was found that the contact stress increased with the angle of impact and jumped up at a specific angle. Such result would be attributed to the complex effects of the impact velocity and angle.