• Title/Summary/Keyword: isotropic medium

Search Result 111, Processing Time 0.03 seconds

A magneto-thermo-viscoelastic problem with fractional order strain under GN-II model

  • Deswal, Sunita;Kalkal, Kapil Kumar;Sheoran, Sandeep Singh
    • Structural Engineering and Mechanics
    • /
    • v.63 no.1
    • /
    • pp.89-102
    • /
    • 2017
  • In this work, we present a theoretical framework to study the thermovisco-elastic responses of homogeneous, isotropic and perfectly conducting medium subjected to inclined load. Based on recently developed generalized thermoelasticity theory with fractional order strain, the two-dimensional governing equations are obtained in the context of generalized magnetothermo-viscoelasticity theory without energy dissipation. The Kelvin-Voigt model of linear viscoelasticity is employed to describe the viscoelastic nature of the material. The resulting formulation of the field equations is solved analytically in the Laplace and Fourier transform domain. On the application of inclined load at the surface of half-space, the analytical expressions for the normal displacement, strain, temperature, normal stress and tangential stress are derived in the joint-transformed domain. To restore the fields in physical domain, an appropriate numerical algorithm is used for the inversion of the Laplace and Fourier transforms. Finally, we have demonstrated the effect of magnetic field, viscosity, mechanical relaxation time, fractional order parameter and time on the physical fields in graphical form for copper material. Some special cases have also been deduced from the present investigation.

Surface elasticity and residual stress effect on the elastic field of a nanoscale elastic layer

  • Intarit, P.;Senjuntichai, T.;Rungamornrat, J.;Rajapakse, R.K.N.D.
    • Interaction and multiscale mechanics
    • /
    • v.4 no.2
    • /
    • pp.85-105
    • /
    • 2011
  • The influence of surface elasticity and surface residual stress on the elastic field of an isotropic nanoscale elastic layer of finite thickness bonded to a rigid material base is considered by employing the Gurtin-Murdoch continuum theory of elastic material surfaces. The fundamental solutions corresponding to buried vertical and horizontal line loads are obtained by using Fourier integral transform techniques. Selected numerical results are presented for the cases of a finite elastic layer and a semi-infinite elastic medium to portray the influence of surface elasticity and residual surface stress on the bulk stress field. It is found that the bulk stress field depends significantly on both surface elastic constants and residual surface stress. The consideration of out-of-plane terms of the surface stress yields significantly different solutions compared to previous studies. The solutions presented in this study can be used to examine a variety of practical problems involving nanoscale/soft material systems and to develop boundary integral equations methods for such systems.

A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium

  • Yazid, Miloud;Heireche, Houari;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Houari, Mohammed Sid Ahmed
    • Smart Structures and Systems
    • /
    • v.21 no.1
    • /
    • pp.15-25
    • /
    • 2018
  • This work presents the buckling investigation of embedded orthotropic nanoplates such as graphene by employing a new refined plate theory and nonlocal small-scale effects. The elastic foundation is modeled as two-parameter Pasternak foundation. The proposed two-variable refined plate theory takes account of transverse shear influences and parabolic variation of the transverse shear strains within the thickness of the plate by introducing undetermined integral terms, hence it is unnecessary to use shear correction factors. Nonlocal governing equations for the single layered graphene sheet are obtained from the principle of virtual displacements. The proposed theory is compared with other plate theories. Analytical solutions for buckling loads are obtained for single-layered graphene sheets with isotropic and orthotropic properties. The results presented in this study may provide useful guidance for design of orthotropic graphene based nanodevices that make use of the buckling properties of orthotropic nanoplates.

Self-Emulsifying Drug Delivery System Containing Ibuprofen for Oral Use (이부프로펜을 함유하는 경구용 자가유화 약물 송달시스템(SEDDS))

  • Choi, Jeong-Hwa;Kim, Ja-Young;Ku, Young-Soon
    • Journal of Pharmaceutical Investigation
    • /
    • v.29 no.2
    • /
    • pp.99-103
    • /
    • 1999
  • Self-Emulsifying System(SES), an isotropic mixture of oil and surfactant which forms oil-in-water emulsion, is expected to improve in vitro drug dissolution and enhance in vivo drug absorption. A poorly water soluble drug, ibu-profen(IBP) was incorporated into the SES to improve absorption, and enhance bioavailability of drug. Medium chain triglyceride, glyceryl tricaprylate(GTC) as an oil, and Tween 85 as a surfactant were used to formulate SES. To characterize SESs with various concentrations of Tween 85, the phase separation and solubility of IBP-SEDDS containing IBP as a function of Tween 85 concentration were conducted, and the particle size was measured using photon correlation spectroscopic method. The SES with optimal concentration of Tween 85(35%(w/w)) was selected based on its high drug loading, small particle size and low surfactant concentration. After an oral administration of IBP-SEDDS and IBP suspension in methyl cellulose equivalent to 40.0 mg/kg to rats, the pharmacokinetic parameters were compared. The $C_{max}(163.17\;vs\;88.82\;{\mu}g/ml)$, $AUC(12897.01\;vs\;8751.13\;{\mu}g\;min/ml)$ and Bioavailability(86.44 vs 58.65%) significantly increased but $T_max(10\;vs\;20\;min)$ was significantly advanced. The current SEDDS containing IBP provide an alternative to improve an oral bio-availability of IBP.

  • PDF

Polarization Analysis of Light Passing Through Non-uniform Uniaxial Media (비균일 단축 이방성 매질을 투과하는 빛의 편광상태 변화 표현)

  • Ryu, Jang-Wi;Kim, Sang-Youl;Kim, Yong-Ki
    • Korean Journal of Optics and Photonics
    • /
    • v.21 no.4
    • /
    • pp.161-167
    • /
    • 2010
  • We suggest an effective expression of transmission coefficients between uniaxial anisotropic media. To study the transmission of oblique incident light by stratified anisotropic planar structures, we included an imaginary isotropic layer sandwiched between those anisotropic media, and then considered multiple reflection within the imaginary layer. The adequacy of this expression is confirmed by comparing the polarization analysis of light passing through the anisotropic medium and the multi.layered anisotropic media.

A Study on the Volume Change in Unsaturated Clayey Soil (불포화 정성토의 체적변화에 대한 연구)

  • Chang, Pyoung-Wuck;Gil, Sang-Choon
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.40 no.5
    • /
    • pp.37-42
    • /
    • 1998
  • This study was performed to evaluate the characteristics of volume change is unsaturated clayed soil. The medium-plastic clay was selected and compacted by 50% of Proctor standard compaction energy at 6% higher moisture content than its OMC. A series of isotropic compression tests and triaxial shear tests were performed. The results of the study are summarized as follows. At each matric suction, when the matric suction was increased, the yield stress was increased and slope of volume change was decreased. The more net mean stress was, the less the quantity of volume change was. In shear test, the volumetric strain was much rapidly changed in large matric than in low matric suctions. But the effect of matric suction to volume change disappeared under high net mean stress. At lower deviator stress the more matric suction was, the higher volume change was. But As the matric suction was increasing, the behavior of the unsaturated clayey soil was similar to that of saturated clayey soil. Volume change in the unsaturated clayey soil can be represented as a unique plane in three-dimensional space, which is the axes of net mean stress, matric suction and void ratio.

  • PDF

The computation of the torso surface potentials using the boundary element method (경계요소법을 이용한 트로소 표면전위의 계산)

  • 이경중;이세진
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.33B no.8
    • /
    • pp.22-29
    • /
    • 1996
  • This study describes a method to find the torso surface potential based on the boundary element method. In order to find the torso surface potential, the governing equation was developed based on the green's second theorem. The boundary element method (BEM) which has a good computing capability in case of homogeneous and isotropic medium was applied to solve the equation. to validate the BEM, we considered a homogeneous sphere model which has an electrric dopole source inside. The results showed the good agreement between the analytic solution and the computed solution. In normal heart, the simulated torso surface isopotential maps are good agreement with that obtained form the ventricular excitation.

  • PDF

Plane waves in an anisotropic thermoelastic

  • Lata, Parveen;Kumar, Rajneesh;Sharma, Nidhi
    • Steel and Composite Structures
    • /
    • v.22 no.3
    • /
    • pp.567-587
    • /
    • 2016
  • The present investigation is to study the plane wave propagation and reflection of plane waves in a homogeneous transversely isotropic magnetothermoelastic medium with two temperature and rotation in the context of GN Type-II and Type-III (1993) theory of thermoelasticity. It is found that, for two dimensional assumed model, there exist three types of coupled longitudinal waves, namely quasi-longitudinal wave (QL), quasi-transverse wave (QTS) and quasi-thermal waves (QT). The different characteristics of waves like phase velocity, attenuation coefficients, specific loss and penetration depth are computed numerically and depicted graphically. The phenomenon of reflection coefficients due to quasi-waves at a plane stress free with thermally insulated boundary is investigated. The ratios of the linear algebraic equations. These amplitude ratios are used further to calculate the shares of different scattered waves in the energy of incident wave. The modulus of the amplitude and energy ratios with the angle of incidence are computed for a particular numerical model. The conservation of energy at the free surface is verified. The effect of energy dissipation and two temperatures on the energy ratios are depicted graphically and discussed. Some special cases of interest are also discussed.

Comparative study of torsional wave profiles through stratified media with fluted boundaries

  • Maity, Manisha;Kundu, Santimoy;Kumari, Alka;Gupta, Shishir
    • Structural Engineering and Mechanics
    • /
    • v.74 no.1
    • /
    • pp.91-104
    • /
    • 2020
  • A mathematical analysis has been carried out for understanding the traversal attributes of torsional waves in a Voigt-type viscoelastic porous layer bounded with corrugated surfaces resting over a heterogeneous transversely isotropic gravitating semi-infinite medium. Both the media are assumed to be under the effect of initial stresses acting along horizontal directions. In the presumed geometry, continuous and periodic type of corrugation has been considered. The condensed form of dispersion relation has been obtained analytically with the aid of the Whittaker's function and suitable boundary conditions. The influence of viscoelasticity, porosity, initial stresses, heterogeneity, gravity, undulation and position parameters on the phase and damped velocities has been illustrated graphically. In addition, relative examination investigating the impact of corrugated and planar bounded surfaces on the dispersion and damping characteristics is one of the important highlights of this study.

Propagation of non-uniformly modulated evolutionary random waves in a stratified viscoelastic solid

  • Gao, Q.;Howson, W.P.;Watson, A.;Lin, J.H.
    • Structural Engineering and Mechanics
    • /
    • v.24 no.2
    • /
    • pp.213-225
    • /
    • 2006
  • The propagation of non-uniformly modulated, evolutionary random waves in viscoelastic, transversely isotropic, stratified materials is investigated. The theory is developed in the context of a multi-layered soil medium overlying bedrock, where the material properties of the bedrock are considered to be much stiffer than those of the soil and the power spectral density of the random excitation is assumed to be known at the bedrock. The governing differential equations are first derived in the frequency/wave-number domain so that the displacement response of the ground may be computed. The eigen-solution expansion method is then used to solve for the responses of the layers. This utilizes the precise integration method, in combination with the extended Wittrick-Williams algorithm, to obtain all the eigen-solutions of the ordinary differential equation. The recently developed pseudo-excitation method for structural random vibration is then used to determine the solution of the layered soil responses.