• Title/Summary/Keyword: higher-order shear

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Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations

  • Bakora, Ahmed;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.56 no.1
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    • pp.85-106
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    • 2015
  • Postbuckling of thick plates made of functionally graded material (FGM) subjected to in-plane compressive, thermal and thermomechanical loads is investigated in this work. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation. Thermomechanical non-homogeneous properties are considered to be temperature independent, and graded smoothly by the distribution of power law across the thickness in the thickness in terms of the volume fractions of constituents. By employing the higher order shear deformation plate theory together the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect FGM plates are derived. The Galerkin technique is used to determine the buckling loads and postbuckling equilibrium paths for simply supported plates. Numerical examples are presented to show the influences of power law index, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates.

Relationship between Replication and Structure of Micro/Nano Molded Parts

  • Ito, Hiroshi;Kazama, Kunihiko;Kikutani, Takeshi
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.368-368
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    • 2006
  • Micro-molded parts can be defined as parts with microgram weight, parts with micro-structured surface, and parts with micro-precision. In this study, various micro-scale molded parts for various polymers were produced by using a precision micro-molding machine. Molded parts with nano-structure surface were also produced to analyze the effect of molding conditions on replication of surface pattern and higher-order structure development of molded parts. Replication of molded parts was influenced by material properties, molding conditions and size of surface pattern. Higher-order structure of molded parts was investigated by using polarized microscope. Skin-shear-core regions inside the molded parts were observed and shear region affected to surface replication.

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Dynamic analysis for delaminated composites using DKQ concept based on higher-order zig-zag theory (고차 지그재그 모델을 이용한 다중 층간 분리부가 내재한 복합재 평판의 동적 해석)

  • 오진호;조맹효;김준식
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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    • pp.71-74
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    • 2002
  • A higher-order zig-zag theory is developed to refine the predictions of natural frequency and mode shape of laminated composite plates with multiple delaminations. By imposing top and bottom surface transverse shear stress-free and interface continuity conditions of transverse shear stresses including delaminated interfaces, the displacement field with minimal degree-of-freedoms are obtained. This displacement field can systematically handle the number, shape, size, and locations of delaminations. Through the dynamic version of variational approach, the dynamic equilibriums and variationally consistent boundary conditions are obtained. Through the numerical example of natural frequency analysis, the accuracy and efficiency of present theory are demonstrated. The present theory is suitable as an efficient tool to analyze the static and dynamic behavior of the composite plates with multiple delaminations.

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Analysis of post-buckling of higher-order graphene oxide reinforced concrete plates with geometrical imperfection

  • Mirjavadi, Seyed Sajad;Forsat, Masoud;Yahya, Yahya Zakariya;Barati, Mohammad Reza;Jayasimha, Anirudh Narasimamurthy;Khan, Imran
    • Advances in concrete construction
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    • v.9 no.4
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    • pp.397-406
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    • 2020
  • The present article deals with post-buckling of geometrically imperfect concrete plates reinforced by graphene oxide powder (GOP) based on general higher order plate model. GOP distributions are considered as uniform and linear models. Utilizing a shear deformable plate model having five field components, it is feasible to verify transverse shear impacts with no inclusion of correction factor. The nonlinear governing equations have been solved via an analytical trend for deriving post-buckling load-deflection relations of the GOP-reinforced plate. Derived findings demonstrate the significance of GOP distributions, geometric imperfectness, foundation factors, material compositions and geometrical factors on post-buckling properties of reinforced concrete plates.

Impact Analysis of Laminated Composite Plate Using Higher-Order Shear Deformation Theory (고차 전단 변형 이론에 의한 적층 복합판의 충격 해석)

  • 김문생;김남식;이현철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.735-750
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    • 1991
  • 본 연구에서는 적층 복합판의 충격 해석을 위하여 Reddy의 고차 전단 변형 이 론에 기초를 두고, 정적 압입 실험에 의한 접촉 법칙을 고려한 동적 유한 요소 해석 (dynamic finite element analysis)을 행하여 충격 실험에 의한 결과와 1차 전단변형 이론에 의한 해와 비교 검토하므로서, 그 유용성과 우수성을 입증하고, 적층 복합재의 충격 응력 및 응력파 전파 특성에 대하여 연구하고자 한다.

Hygrothermal Bending Analysis of Laminated Composite Plates and Shells Considering a Higher-order Shear Deformation (고차전단변형을 고려한 적층복합판 및 쉘의 열-습윤 휨해석)

  • 한성천;윤석호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.1
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    • pp.37-44
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    • 1999
  • 비등방성으로 적층된 복합판 및 쉘구조물에서 온도와 습도의 급격한 변화는 구조물의 강도와 성능을 저하시키는 중요한 원인이 된다. 더욱이 하중에 의한 역학적 변위와 조합될 때에는 좌굴, 대변형 혹은 고응력 상태를 유발하게 된다. 본 연구에서는 이중 퓨리에급수를 이용하여 3차의 전단변형함수로 가정된 평형방정석을 전개하고 폭-두께비, 형상비의 변화 그리고 재료의 성질에 따른 결과에 대하여 고찰하였다.

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Static analysis of singly and doubly curved panels on rectangular plan-form

  • Bahadur, Rajendra;Upadhyay, A.K.;Shukla, K.K.
    • Steel and Composite Structures
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    • v.24 no.6
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    • pp.659-670
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    • 2017
  • In the present work, an analytical solution for the static analysis of laminated composites, functionally graded and sandwich singly and doubly curved panels on the rectangular plan-form, subjected to uniformly distributed transverse loading is presented. Mathematical formulation is based on the higher order shear deformation theory and principle of virtual work is applied to derive the equations of equilibrium subjected to small deformation. A solution methodology based on the fast converging finite double Chebyshev series is used to solve the linear partial differential equations along with the simply supported boundary condition. The effect of span to thickness ratio, radius of curvature to span ratio, stacking sequence, power index are investigated. The accuracy of the solution is checked by the convergence study of non-dimensional central deflection and moments. Present results are compared with those available in the literature.

Thermal buckling of porous FGM plate integrated surface-bonded piezoelectric

  • Mokhtar Ellali;Khaled Amara;Mokhtar Bouazza
    • Coupled systems mechanics
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    • v.13 no.2
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    • pp.171-186
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    • 2024
  • In the present paper, thermal buckling characteristics of functionally graded rectangular plates made of porous material that are integrated with surface-bonded piezoelectric actuators subjected to the combined action of thermal load and constant applied actuator voltage are investigated by utilizing a Navier solution method. The uniform temperature rise loading is considered. Thermomechanical material properties of FGM plates are assumed to be temperature independent and supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM) which is modified to approximate the porous material properties with even and uneven distributions of porosities phases. The governing differential equations of stability for the piezoelectric FGM plate are derived based on higher order shear deformation plate theory. Influences of several important parameters on the critical thermal buckling temperature are investigated and discussed in detail.

A novel and simple higher order shear deformation theory for stability and vibration of functionally graded sandwich plate

  • Sekkal, Mohamed;Fahsi, Bouazza;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.25 no.4
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    • pp.389-401
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    • 2017
  • In this work, a new higher shear deformation theory (HSDT) is developed for the free vibration and buckling of functionally graded (FG) sandwich plates. The proposed theory presents a new displacement field by using undetermined integral terms. Only four unknowns are employed in this theory, which is less than the classical first shear deformation theory (FSDT) and others HSDTs. Equations of motion are obtained via Hamilton's principle. The analytical solutions of FG sandwich plates are determined by employing the Navier method. A good agreement between the computed results and the available solutions of existing HSDTs is found to prove the accuracy of the developed theory.

Mechanical properties of porcelain fused gold alloy containing indium, tin and copper (인듐, 주석, 동 첨가에 따른 도재소부용 금합금의 기계적 특성 변화)

  • Nam, Sang-Yong;Kwak, Dong-Ju;Lee, Deok-Su
    • Journal of Technologic Dentistry
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    • v.24 no.1
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    • pp.65-71
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    • 2002
  • This study was performed to observe the microhardness change of the surface and the bonding strength between the porcelain and alloy specimens in order to investigate the effects of appended indium, tin and copper on interfacial properties of Au-Pd-Ag alloys. The hardness of castings was measured with a micro-Vicker's hardness tester. The interfacial shear bonding strength between alloy specimen and fused porcelain was measured with a mechanical testing system(MTS 858.20). The microhardness of Au-Pd-Ag alloy was increased by adding indium and tin, but not increased by adding copper. The shear bonding strength of Au-Pd-Ag-Sn alloy and Au-Pd-Ag-Cu alloy showed 87MPa, 57MPa. The higher concentration of adding elements showed the higher shear bonding strength.

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