• Title/Summary/Keyword: continuum theory

Search Result 228, Processing Time 0.02 seconds

Curved Beam Theory Based On Centroid-Shear Center Formulation (도심-전단중심 정식화를 이용한 개선된 곡선보이론)

  • Kim Nam-Il;Kyung Yong-Soo;Kim Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2006.04a
    • /
    • pp.1033-1039
    • /
    • 2006
  • To overcome the drawback of currently available curved beam theories having non-symmetric thin-walled cross sections, a curved beam theory based on centroid-shear center formulation is presented for the spatially coupled free vibration and elastic analyses. For this, the elastic strain and kinetic energies considering the thickness-curvature effect and the rotary inertia of curved beam are derived by degenerating the energies of the elastic continuum to those of curved beam. And then the equilibrium equations and the boundary conditions are consistently derived for curved beams having non-symmetric thin-walled cross section. It is emphasized that for curved beams with L- or T-shaped sections, this thin-walled curved beam theory can be easily reduced to tl1e solid beam theory by simply putting the sectional properties associated with warping to zero. In order to illustrate the validity and the accuracy of this study, FE solutions using the Hermitian curved beam elements are presented and compared with the results by previous research and ABAQUS's shell elements.

  • PDF

Nonlocal strain gradient theory for buckling and bending of FG-GRNC laminated sandwich plates

  • Basha, Muhammad;Daikh, Ahmed Amine;Melaibari, Ammar;Wagih, Ahmed;Othman, Ramzi;Almitani, Khalid H;Hamed, Mostafa A.;Abdelrahman, Alaa;Eltaher, Mohamed A.
    • Steel and Composite Structures
    • /
    • v.43 no.5
    • /
    • pp.639-660
    • /
    • 2022
  • The bending and buckling behaviours of FG-GRNC laminated sandwich plates are investigated by using novel five-variables quasi 3D higher order shear deformation plate theory by considering the modified continuum nonlocal strain gradient theory. To calculate the effective Young's modulus of the GRNC sandwich plate along the thickness direction, and Poisson's ratio and mass density, the modified Halpin-Tsai model and the rule of the mixture are employed. Based on a new field of displacement, governing equilibrium equations of the GRNC sandwich plate are solved using a developed approach of Galerkin method. A detailed parametric analysis is carried out to highlight the influences of length scale and material scale parameters, GPLs distribution pattern, the weight fraction of GPLs, geometry and size of GPLs, the geometry of the sandwich plate and the total number of layers on the stresses, deformation and critical buckling loads. Some details are studied exclusively for the first time, such as stresses and the nonlocality effect.

Development of ViscoElastoPlastic Continuum Damage (VEPCD) Model for Response Prediction of HMAs under Tensile Loading (인장하중을 받는 아스팔트 혼합물의 점탄소성 모형의 개발)

  • Underwood, B. Shane;Kim, Y. Richard;Seo, Youngguk;Lee, Kwang-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.28 no.1D
    • /
    • pp.45-55
    • /
    • 2008
  • The objective of this research was to develop a VEPCD (ViscoElastoPlastic Continuum Damage) Model which is used to predict the behavior of asphalt concrete under various loading and temperature conditions. This paper presents the VEPCD model formulated in a tension mode and its validation using four hot mix asphalt (HMA) mixtures: dense-graded HMA, SBS, CR-TB, and Terpolymer. Modelling approaches consist of two components: the ViscoElastic Continuum Damage (VECD) mechanics and the ViscoPlastic (VP) theory. The VECD model was to describe the time-dependent behavior of HMA with growing damage. The irrecoverable (whether time-dependent or independent) strain has been described by the VP model. Based on the strain decomposition principle, these two models are integrated to form the VEPCD model. For validating the VEPCD model, two types of laboratory tests were performed: 1) a constant crosshead strain rate tension test, 2) a fatigue test with randomly selected load levels and frequencies.

The Use of Rasch Model in Developing a Short Form Based on Self-Reported Activity Measure for Low Back Pain

  • Choi, Bong-Sam
    • Physical Therapy Korea
    • /
    • v.21 no.4
    • /
    • pp.56-66
    • /
    • 2014
  • For maintaining adequate psychometric properties when reducing the number of items from an instrument, item level psychometrics is crucial. Strategies such as low item correlation or factor loadings, using classical test theory, have traditionally been advocated. The purpose of this study is to describe the development of a new short form assessing the impact of low back pain on physical activity. Rasch measurement model has been applied to the International Classification of Functioning, Disability and Health Activity Measure (ICF-AM). One hundred and one individuals with low back pain aged 19-89 years (mean age: $48.1{\pm}17.3$) who live in the community were participated in the study. Twenty-seven items of lifting/carrying construct of the ICF-AM were analyzed. Ten items were selected from the construct to create a short form. Item elimination criteria include: 1) high or low mean square (out of the range: .6-1.4 for the fit statistics), 2) similar item calibrations to adjacent items, 3) person separation value, and item-person map for potential gap in person ability continuum. All 10 items of the short form fit to the Rasch model except one item (i.e., carrying toddler on back). Despite its high infit and outfit statistics (1.90/2.17), the item had to be reinstated due to potential gaps at the upper extreme of person ability level. The short form had a slightly better spread of person ability continuum compared to the entire set of item. The created short form separated individuals with low back pain into nearly 4 groups, while the entire set of items separated the individuals into 6 groups. The findings prompted multidimensional models for better explanation of the lifting/carrying domain. The item level psychometrics based on the Rasch model can be useful in developing short forms with rationally retained items.

Influence of vacancy defects on vibration analysis of graphene sheets applying isogeometric method: Molecular and continuum approaches

  • Tahouneh, Vahid;Naei, Mohammad Hasan;Mashhadi, Mahmoud Mosavi
    • Steel and Composite Structures
    • /
    • v.34 no.2
    • /
    • pp.261-277
    • /
    • 2020
  • The main objective of this research paper is to consider vibration analysis of vacancy defected graphene sheet as a nonisotropic structure via molecular dynamic and continuum approaches. The influence of structural defects on the vibration of graphene sheets is considered by applying the mechanical properties of defected graphene sheets. Molecular dynamic simulations have been performed to estimate the mechanical properties of graphene as a nonisotropic structure with single- and double- vacancy defects using open source well-known software i.e., large-scale atomic/molecular massively parallel simulator (LAMMPS). The interactions between the carbon atoms are modelled using Adaptive Intermolecular Reactive Empirical Bond Order (AIREBO) potential. An isogeometric analysis (IGA) based upon non-uniform rational B-spline (NURBS) is employed for approximation of single-layered graphene sheets deflection field and the governing equations are derived using nonlocal elasticity theory. The dependence of small-scale effects, chirality and different defect types on vibrational characteristic of graphene sheets is investigated in this comprehensive research work. In addition, numerical results are validated and compared with those achieved using other analysis, where an excellent agreement is found. The interesting results indicate that increasing the number of missing atoms can lead to decrease the natural frequencies of graphene sheets. It is seen that the degree of the detrimental effects differ with defect type. The Young's and shear modulus of the graphene with SV defects are much smaller than graphene with DV defects. It is also observed that Single Vacancy (SV) clusters cause more reduction in the natural frequencies of SLGS than Double Vacancy (DV) clusters. The effectiveness and the accuracy of the present IGA approach have been demonstrated and it is shown that the IGA is efficient, robust and accurate in terms of nanoplate problems.

Theoretical Studies on Selectivity of Dibenzo-18-Crown-6-Ether for Alkaline Earth Divalent Cations

  • Heo, Ji-Young
    • Bulletin of the Korean Chemical Society
    • /
    • v.33 no.8
    • /
    • pp.2669-2674
    • /
    • 2012
  • Crown ether is one of well-known host molecules and able to selectively sequester metal cation. We employed M06-2X density functional theory with IEFPCM and SMD continuum solvation models to study selectivity of dibenzo-18-crown-6-ether (DB18C6) for alkaline earth dications, $Ba^{2+}$, $Sr^{2+}$, $Ca^{2+}$, and $Mg^{2+}$ in the gas phase and in aqueous solution. $Mg^{2+}$ showed predominantly strong binding affinity in the gas phase because of strong polarization of CO bonds by cation. In aqueous solution, binding free energy differences became smaller among these dications. However, $Mg^{2+}$ had the best binding, being incompatible with experimental observations in aqueous solution. The enthalpies of the dication exchange reaction between DB18C6 and water cluster molecules were computed as another estimation of selectivity in aqueous solution. These results also demonstrated that $Mg^{2+}$ bound to DB18C6 better than $Ba^{2+}$. We speculated that the species determining selectivity in water could be 2:1 complexes of two DB18C6s and one dication.

Identification of the Structural Damages in a Cylindrical Shell (원통형 셸에 발생한 구조손상의 규명)

  • Kim, Sung-Hwan;Lee, U-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.29 no.12 s.243
    • /
    • pp.1586-1596
    • /
    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion for a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the equations of motion of a damaged shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM may require only the FRF-data measured at damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations for damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

A Study on the Analysis of Architectural Interior Space through Movement System focused on Hyangdan and Kwankajung (운동체계에 의한 건축공간 분석에 관한 연구 -향단과 관가정의 안채$\cdot$사랑채 실내공간분석 -)

  • Lee Kum-Jin;Choi Dong Hyeog
    • Journal of the Korean housing association
    • /
    • v.16 no.2
    • /
    • pp.55-65
    • /
    • 2005
  • 'Movement System' is made of the interaction of user and architectural spaces related to each other in order. 'Movement' meant in movement system is possible only in the status of user and architectural space together. Movement created and disappeared by the user is not subordinated to the existing architectural space but becomes the main element of formating movement system. It is required that movement conception applied to architecture should be derived from the essence of movement and this study presents the movement system. To explain the formating process of movement system, A. N. Whitehead's process philosophy theory is at the basis and transformed in architectural aspects. On basis of these theoretical backgrounds, the process of making movement system can be explained. There are unit movement, unit object, and elements for movement process as the basic requirements for movement system, each unit is apprehended by individual operation and the nexus is composed by associative operation of apprehended units. This nexus becomes the object of a new subject and forms multiple nexus. Relation of unit movement and unit object and nexus are apprehended as the continuation and extensive continuum is made. At that time, movement with multiple phases set inbetween systems and extended multiplied. Through above study, movement system is applied to Korean traditional houses.

A Study on the Expression of Movement in Architectural Design in the first Machine Age (제1기계시대 건축디자인에서의 운동의 표현에 관한 연구)

  • Kim Won-Gaff
    • Korean Institute of Interior Design Journal
    • /
    • v.14 no.1
    • /
    • pp.28-36
    • /
    • 2005
  • The theme of modern architecture was various expression of dynamism and the flow of space. It was because that the space become the main theme of architecture since the late 19th century, and the space was changed from the 3rd dimension into the 4th dimensional space-time continuum. Though many avant-garde artists in the early 20th century did not understand the theory of relativity, they became conscious of the concept of space-time continuum, and tried to express the movement as the duration in time which Bergson defined. Many architects in the first machine age conceived the movement of architecture, and understand it as the dynamism of the mass and in the space. But especially, Sant'Elia and Hilberseimer expressed it as the flow of various force and vector In the metropolis as entire system. And Some architects conceived it as real movement of the building and expressed it as the rotary motion of building, movable partition and furniture, mobile prefabricated building. This study analyzed the expression of movement in architecture in the first machine age.

Use of infinite elements in simulating liquefaction phenomenon using coupled approach

  • Kumari, Sunita;Sawant, V.A.
    • Coupled systems mechanics
    • /
    • v.2 no.4
    • /
    • pp.375-387
    • /
    • 2013
  • Soils consist of an assemblage of particles with different sizes and shapes which form a skeleton whose voids are filled with water and air. Hence, soil behaviour must be analyzed by incorporating the effects of the transient flow of the pore-fluid through the voids, and therefore requires a two-phase continuum formulation for saturated porous media. The present paper presents briefly the Biot's basic theory of dynamics of saturated porous media with u-P formulation to determine the responses of pore fluid and soil skeleton during cyclic loading. Kelvin elements are attached to transmitting boundary. The Pastor-Zienkiewicz-Chan model has been used to describe the inelastic behavior of soils under isotropic cyclic loadings. Newmark-Beta method is employed to discretize the time domain. The response of fluid-saturated porous media which are subjected to time dependent loads has been simulated numerically to predict the liquefaction potential of a semi-infinite saturated sandy layer using finite-infinite elements. A settlement of 17.1 cm is observed at top surface. It is also noticed that liquefaction occurs at shallow depth. The mathematical advantage of the coupled finite element analysis is that the excess pore pressure and displacement can be evaluated simultaneously without using any empirical relationship.