• Title/Summary/Keyword: isotropic material

Search Result 527, Processing Time 0.03 seconds

Green's Function of Edge Crack in Transversely Isotropic Piezoelectric Material Under Anti-Plane Loads (횡등방 압전재료의 면외하중 모서리 균열에 대한 그린함수)

  • Choi, Sung-Ryul
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.32 no.1
    • /
    • pp.43-53
    • /
    • 2008
  • Surface edge crack in transversely isotropic piezoelectric material is analyzed. The concentrated antiplane mechanical and inplane electrical loadings are applied to an arbitrary point of the surface, where the impermeable crack boundary condition is imposed. Using Mellin transform the problem is formulated, from which Wiener-Hopf equations are derived. By solving the equations the solution is obtained in a closed form. Mechanical and electric intensity factors and energy release rate are obtained and discussed. This problem could be used as a Green's function to generate the solutions of other problems with the same geometry but of different loading conditions.

Calculation of Intensity Factors Using Weight Function Theory for a Transversely Isotropic Piezoelectric Material (횡등방성 압전재료에서의 가중함수이론을 이용한 확대계수 계산)

  • Son, In-Ho;An, Deuk-Man
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.36 no.2
    • /
    • pp.149-156
    • /
    • 2012
  • In fracture mechanics, the weight function can be used for calculating stress intensity factors. In this paper, a two-dimensional electroelastic analysis is performed on a transversely isotropic piezoelectric material with an open crack. A plane strain formulation of the piezoelectric problem is solved within the Leknitskii formalism. Weight function theory is extended to piezoelectric materials. The stress intensity factors and electric displacement intensity factor are calculated by the weight function theory.

Elasto-plastic analysis using shell element considering geometric and material nonlinearities

  • Prasad, N. Siva;Sridhar, S.
    • Structural Engineering and Mechanics
    • /
    • v.6 no.2
    • /
    • pp.217-227
    • /
    • 1998
  • An elasto-plastic finite element procedure using degenerated shell element with assumed strain field technique considering both material and geometric nonlinearities has been developed. This assumes von-Mises yield criterion, von-Karman strain displacement relations and isotropic hardening. A few numerical examples are presented to demonstrate the correctness and applicability of the method to different kinds of engineering problems. From present study, it is seen that there is a considerable improvement in the displacement valuse when both material and geometric nonlinearities are considered. An example of the spread of plastic zones for isotropic and anisotropic materials has been illustrated.

Analytical solution of nonlinear cylindrical bending for functionally graded plates

  • Daouadji, Tahar Hassaine;Hadji, Lazreg
    • Geomechanics and Engineering
    • /
    • v.9 no.5
    • /
    • pp.631-644
    • /
    • 2015
  • This article considers the problems of cylindrical bending of functionally graded plates in which material properties vary through the thickness. The variation of the material properties follows two power-law distributions in terms of the volume fractions of constituents. In addition, this paper considers orthotropic materials rather than isotropic materials. The traction-free condition on the top surface is replaced with the condition of uniform load applied on the top surface. Numerical results are presented to show the effect of the material distribution on the deflections and stresses. Results show that, all other parameters remaining the same, the studied quantities (stress, deflection) of P-FGM and E-FGM plates are always proportional to those of homogeneous isotropic plates. Therefore, one can predict the behaviour of P-FGM and E-FGM plates knowing that of similar homogeneous plates.

Application of Method of Caustics to Cracks in Pseudo-Isotropic Materials( I ) (의사등방성재료내 균열에 대한 코스틱스방법의 적용(I))

  • 백명철;조상봉;최선호
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.15 no.3
    • /
    • pp.944-953
    • /
    • 1991
  • 본 연구에서는 일반적인 이방성재료에 대한 코스틱방법의 적용을 검토하는 일 환으로서, 직교이방성재료중 특성방정식의 근이 동일함으로 인하여 균열의 응력장이 특이성을 갖게 되고, 따라서 지금까지는 코스틱법의 적용이 어려웠던 재료(의사등방성 재료)에 대하여, 코스틱상 및 초기곡선의 식을 이론적으로 구하였고, 이 식을 예상되 는 여러가지 경계조건 하에서 컴퓨터 그래픽(computer graphic)으로 가시화하여, 시편 제작의 어려움으로 인하여 실험이 곤란한 의사등방성재료의 코스틱상을 예시하였으며, 또 이들 재료에 대한 응력확대계수 산출법을 제시함과 동시에 이 산출법이 등방성 재 료 및 일반적 직교이방성재료에도 사용가능함을 밝혀 다음 제2부에서 실험을 통하여 검증되도록 하였다.

Assessment of Equivalent Elastic Modulus of Perforated Spherical Plates

  • JUMA, Collins;NAMGUNG, Ihn
    • Transactions of the Korean Society of Pressure Vessels and Piping
    • /
    • v.15 no.1
    • /
    • pp.8-17
    • /
    • 2019
  • Perforated plates are used for the steam generator tube-sheet and the Reactor Vessel Closure Head in the Nuclear Power Plant. The ASME code, Section III Appendix A-8000, addresses the analysis of perforated plates, however, this analysis is only limited to the flat plate with a triangular perforation pattern. Based on the concept of the effective elastic constants, simulation of flat and spherical perforated plates and their equivalent solid plates were carried out using Finite Element Analysis (FEA). The isotropic material properties of the perforated plate were replaced with anisotropic material properties of the equivalent solid plate and subjected to the same loading conditions. The generated curves of effective elastic constants vs ligament efficiency for the flat perforated plate were in agreement with the design curve provided by ASME code. With this result, a plate with spherical curvature having perforations can be conveniently analyzed with equivalent elastic modulus and equivalent Poisson's ratio.

Using Topology Optimization, Light Weight Design of Vehicle Mounted Voltage Converter for Impact Loading (위상 최적화 기법을 이용한 충격하중에 대한 차량 탑재형 전력변환장치의 마운트 경량화 설계)

  • Ko, Dong-Shin;Lee, Hyun-Kyung;Hur, Deog-Jae
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.31 no.6
    • /
    • pp.353-358
    • /
    • 2018
  • In this study, it is describe to an optimization analysis process for the weight reduction of the voltage converter in the electric vehicle charging systems. The optimization design is a technique that finds the optimal material distribution under a given material quantity constraint by combining the design sensitivity with the material properties and the mathematical optimization. Among the topology optimization, a lightweight design is performed by a solid isotropic material with penalization with simple formula and well-convergence. The lightweight design consists of three steps. As a first step, a finite element model for the basic design of the on-board voltage converter was constructed and static analysis was performed on the load. In the second step, the optimum shape is obtained for the lightweight by performing the topology optimization using the solid isotropic material with penalization applying the stiffness coefficient of the isotropic material to the static analysis result. As a final step, impact analysis was performed by applying a half-sinusoidal pulse shape impact load which satisfies the impact test standard of the vehicle-mounted part with respect to the optimum shape. In the topology optimization, the design domain was defined as the mounting bracket area, and the design technology was finally achieved by optimizing the mounting bracket to achieve a weight reduction of 20% over the basic design.

A new and simple HSDT for isotropic and functionally graded sandwich plates

  • Driz, Hafida;Benchohra, Mamia;Bakora, Ahmed;Benachour, Abdelkader;Tounsi, Abdelouahed;Bedia, El Abbes Adda
    • Steel and Composite Structures
    • /
    • v.26 no.4
    • /
    • pp.387-405
    • /
    • 2018
  • A novel higher shear deformation theory (HSDT) is proposed for the bending, buckling and free vibration investigations of isotropic and functionally graded (FG) sandwich plates. It contains only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional HSDTs. The model accounts for a parabolic variation of transverse shear stress, respects the traction free boundary conditions and contrary to the conventional HSDTs, the present one presents a novel displacement field which incorporates undetermined integral terms. Equations of motion determined in this work are applied for three types of FG structures: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Analytical solutions are given to predict the transverse displacements, stresses, critical buckling forces and natural frequencies of simply supported plates and a comparison study is carried out to demonstrate the accuracy of the proposed model.

Dynamic Stress Intensity Factor $K_{III}$ of Crack Propagating with Constant Velocity in Orthotropic Disk Plate Subjected to Longitudinal Shear Stress (길이방향의 전단응력을 받은 직교이방성 원판에 내재된 외부균열의 등속전파 응력확대계수 $K_{III}$)

  • 최상인
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.4 no.2
    • /
    • pp.69-79
    • /
    • 1996
  • Dynamic stress intensity factors are derives when the crack is propagating with constant velocity under longitudinal shear stress in orthotropic disk plate. General stress fields of crack tip propagating with constant velocity and least square method are used to obtain the dynamic stress intensity factor. The dynamic stress intensity factors of GLV/GTV=1(=isotropic material or transversely isotropic material) which is obtained in out study nearly coincides with Chiang's results when mode Ⅲ stress is applied to boundary of isotropic disk. The D.S.I.F. of mode Ⅲ stress is greater when α(=angle of crack propagation direction with fiber direction) is 90° than that when α is 0°. In case of a/D(a:crack length, D:disk diameter)<0. 58, the faster crack propagation velocity, the less D.S.I.F. but when crack propagation velocity arrive on ghear stress wave velocity, the D.S.I.F. but when crack propagation velocity arrive on shear stress wave velocity, the D.S.I.F. unexpectedly increases and decreases to zero.

  • PDF

Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory

  • Bourada, Fouad;Amara, Khaled;Tounsi, Abdelouahed
    • Steel and Composite Structures
    • /
    • v.21 no.6
    • /
    • pp.1287-1306
    • /
    • 2016
  • The current research presents a buckling analysis of isotropic and orthotropic plates by proposing a new four variable refined plate theory. Contrary to the existing higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed model uses a new displacement field which incorporates undetermined integral terms and involves only four variables. The governing equations for buckling analysis are deduced by utilizing the principle of virtual works. The analytical solution of a simply supported rectangular plate under the axial loading has been determined via the Navier method. Numerical investigations are performed by using the proposed model and the obtained results are compared with CPT solutions, FSDT solutions, and the existing exact solutions in the literature. It can be concluded that the developed four variable refined plate theory, which does not use shear correction coefficient, is not only simple but also comparable to the FSDT.