• Title/Summary/Keyword: hydrostatic formulation

Search Result 24, Processing Time 0.019 seconds

Formulation of Special Constitutive Equations for Inelastic Responses of Porous Metals (I) - Elastic, Perfectly Plastic Material - (다공질 금속의 비탄성거동을 위한 특수 구성방정식의 형성 I)

  • 김기태
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.11 no.6
    • /
    • pp.975-981
    • /
    • 1987
  • Employing a speical yield function for porous metals, a set of special constitutive equations is formulated to predict elastic-plastic responses of porous metals under triaxial compression. The proposed contitutive equations are compared with experimental data for porous tungsten under hydrostatic compression and uniaxial strain compression.

Polyurethane-coated Fabric for RF Welding (RF 접합용 폴리우레탄 코팅 직물)

  • Park, Jong-Cheol;Lee, Jin-Uk;Yun, Nam-Sik;;Kim, Hong-Je
    • Proceedings of the Korean Society of Dyers and Finishers Conference
    • /
    • 2008.10a
    • /
    • pp.103-104
    • /
    • 2008
  • Radio-frequency(RF) weldable polyurethane-coated fabric was prepared by knife coating of presetted and cire-finished nylon fabric using optimized coating formulation including RF-sensitive commercial polyurethane resins. The physical properties, adhesion strength, peeling strength, abrasion strength, flexibility, and hydrostatic water resistance of the prepared coated fabric were good enough to show no significant difference with regular coating. Additionally the prepared coated fabric had silky and soft touch without tackiness.

  • PDF

Finite Element Analysis of Axisymmetric Sheet Hydroforming Processes (축대칭 박판 액압성형 공정의 유한요소 해석)

  • Jeong, Y. H.;Lee, S. H.;Keum, Y. T.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 1999.03b
    • /
    • pp.26-29
    • /
    • 1999
  • The sectional forming analysis program for analyzing the hydroforming processes of axisymmetric sheet parts was tleveloped. The rigid-viscoplastic FEM formulation based on membrane theory was derived, wh~cta simi~ltaneously solve force equilibrium as well as non-penetration condition. Hill's non-quadratic normal anisotropic yield theory(1979) was used for material behaviour. For describing the liquid pressure iaction, the flexible tool concept was introduced. Isotropic hardening law was also assumed. To verify the \,alidity of the formulation, the stepped cup forming process as well as the hydrostatic bulging test were \imnlated. Simulation results agreed well with Finckenstein and experimental ones.

  • PDF

A Study on the Collapse Strength Characteristics of Ship Bottom Plating Subject to Slamming Induced Impact Lateral Pressure Loads (선저슬래밍 충격횡압력을 받는 선체 판부재의 붕괴강도 특성에 관한 연구)

  • Jeom-Kee Park;Jang-Yang Chung;Young-Min Paik
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.36 no.2
    • /
    • pp.77-93
    • /
    • 1999
  • The twin aims of the paper are to investigate the collapse strength characteristics of ship plating subject to impact pressure loads and to develop a simple structural design formula considering impact load effects. The general purpose nonlinear finite element program STARDYNE together with existing experimental results is used to investigate the collapse behavior of plating under impact pressure loads. The rigid plastic theory taking into account large deflection effects is applied to the development of the design formulation. In the theoretical method, the collapse strength formulation for plating subject to hydrostatic pressure is first derived using the rigid plastic theory. By including the strain rate erects in the formulation it can be applied to impact pressure problems. As illustrative examples, the collapse behavior of steel unstiffened plates and aluminum alloy stiffened panels subject to impact pressure loads is analyzed.

  • PDF

Modeling and numerical simulation of electrostrictive materials and structures

  • Pechstein, Astrid;Krommer, Michael;Humer, Alexander
    • Smart Structures and Systems
    • /
    • v.30 no.3
    • /
    • pp.221-237
    • /
    • 2022
  • This paper is concerned with nonlinear modeling and efficient numerical simulation of electrostrictive materials and structures. Two types of such materials are considered: relaxor ferroelectric ceramics and electrostrictive polymers. For ceramics, a geometrically linear formulation is developed, whereas polymers are studied in a geometrically nonlinear regime. In the paper, we focus on constitutive modeling first. For the reversible constitutive response under consideration, we introduce the augmented Helmholtz free energy, which is composed of a purely elastic part, a dielectric part and an augmentation term. For the elastic part, we involve an additive decomposition of the strain tensor into an elastic strain and an electrostrictive eigenstrain, which depends on the polarization of the material. In the geometrically nonlinear case, a corresponding multiplicative decomposition of the deformation gradient tensor replaces the additive strain decomposition used in the geometrically linear formulation. For the dielectric part, we first introduce the internal energy, to which a Legendre transformation is applied to compute the free energy. The augmentation term accounts for the contribution from vacuum to the energy. In our formulation, the augmented free energy depends not only on the strain and the electric field, but also on the polarization and an internal polarization; the latter two are internal variables. With the constitutive framework established, a Finite Element implementation is briefly discussed. We use high-order elements for the discretization of the independent variables, which include also the internal variables and, in case the material is assumed incompressible, the hydrostatic pressure, which is introduced as a Lagrange multiplier. The elements are implemented in the open source code Netgen/NGSolve. Finally, example problems are solved for both, relaxor ferroelectric ceramics and electrostrictive polymers. We focus on thin plate-type structures to show the efficiency of the numerical scheme and its applicability to thin electrostrictive structures.

Three-Dimensional Nonlinear Analysis of Reinforced Concrete Beam with Shear Reinforcements (전단보강된 철근 콘크리트 보의 3차원 거동해석)

  • 주영태;정헌주;이용학
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2001.05a
    • /
    • pp.431-436
    • /
    • 2001
  • Lateral confining effect due to the existence of the shear reinforcements in R.C. beam is investigate in a numerical way. For the purpose, a three dimensional constitutive model of concrete is developed based on the elasto-plasticity using non-associated plastic flow rule to control the excessive inelastic dilatancy. The plastic flow direction is determined based on the associated plastic flow direction in a way to adjust the directional angle between the two normal vector components along the hydrostatic and deviatoric axis in a meridian plane in which the loading function prescribed. The current formulation is combined with the four parameter elasto-plastic triaxial concrete model recently developed. The resulting elasto-plastic triaxial concrete model predicts the fundamental behaviors of concrete under different confining levels and the 4-points flexural test of a beam with shear reinforcements, compares with the experimental results.

  • PDF

Static displacement and elastic buckling characteristics of structural pipe-in-pipe cross-sections

  • Sato, M.;Patel, M.H.;Trarieux, F.
    • Structural Engineering and Mechanics
    • /
    • v.30 no.3
    • /
    • pp.263-278
    • /
    • 2008
  • Structural pipe-in-pipe cross-sections have significant potential for application in offshore oil and gas production systems because of their property that combines insulation performance with structural strength in an integrated way. Such cross-sections comprise inner and outer thin walled pipes with the annulus between them fully filled by a selectable thick filler material to impart an appropriate combination of properties. Structural pipe-in-pipe cross-sections can exhibit several different collapse mechanisms and the basis of the preferential occurrence of one over others is of interest. This paper presents an elastic analyses of a structural pipe-in-pipe cross-section when subjected to external hydrostatic pressure. It formulates and solves the static and elastic buckling problem using the variational principle of minimum potential energy. The paper also investigates a simplified formulation of the problem where the outer pipe and its contact with the filler material is considered as a 'pipe on an elastic foundation'. Results are presented to show the variation of elastic buckling pressure with the relative elastic modulus of the filler and pipe materials, the filler thickness and the thicknesses of the inner and outer pipes. The range of applicability of the simplified 'pipe on an elastic foundation' analysis is also presented. A brief review of the types of materials that could be used as the filler is combined with the results of the analysis to draw conclusions about elastic buckling behaviour of structural pipe-in-pipe cross-sections.

Shape Optimal Design of Elastic Concrete Dam (탄성콘크리트 댐의 모양최적설계)

  • Yoo, Yung Myun
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.5 no.4
    • /
    • pp.9-14
    • /
    • 1985
  • In this research mass of a plane strain two dimensional elastic concrete dam under gravitational and hydrostatic loads is minimized, through shape optimization of the dam cross section. Cross sectional area of the dam is taken as cost function of the optimization problem while constraints on the principal stress distribution and dam thickness are imposed. Shape of the boundary of the model is chosen as design variable. Variational formulation of the optimization problem, the material derivative idea of continuum mechanics, and an adjoint variable method are employed for the shape design sensitivity calculation. Then the gradient projection algorithm is utilized to obtain an optimum design iteratively. Research results fully demonstrate that the theory and procedure adopted are quite efficient and can be applicable to a wide class of practical elastic structural design problems.

  • PDF

Global hydroelastic analysis of ultra large container ships by improved beam structural model

  • Senjanovic, Ivo;Vladimir, Nikola;Tomic, Marko;Hadzic, Neven;Malenica, Sime
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.6 no.4
    • /
    • pp.1041-1063
    • /
    • 2014
  • Some results on the hydroelasticity of ultra large container ships related to the beam structural model and restoring stiffness achieved within EU FP7 Project TULCS are summarized. An advanced thin-walled girder theory based on the modified Timoshenko beam theory for flexural vibrations with analogical extension to the torsional problem, is used for formulation of the beam finite element for analysis of coupled horizontal and torsional ship hull vibrations. Special attention is paid to the contribution of transverse bulkheads to the open hull stiffness, as well as to the reduced stiffness of the relatively short engine room structure. In addition two definitions of the restoring stiffness are considered: consistent one, which includes hydrostatic and gravity properties, and unified one with geometric stiffness as structural contribution via calm water stress field. Both formulations are worked out by employing the finite element concept. Complete hydroelastic response of a ULCS is performed by coupling 1D structural model and 3D hydrodynamic model as well as for 3D structural and 3D hydrodynamic model. Also, fatigue of structural elements exposed to high stress concentration is considered.

Global hydroelastic model for springing and whipping based on a free-surface CFD code (OpenFOAM)

  • Seng, Sopheak;Jensen, Jorgen Juncher;Malenica, Sime
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.6 no.4
    • /
    • pp.1024-1040
    • /
    • 2014
  • The theoretical background and a numerical solution procedure for a time domain hydroelastic code are presented in this paper. The code combines a VOF-based free surface flow solver with a flexible body motion solver where the body linear elastic deformation is described by a modal superposition of dry mode shapes expressed in a local floating frame of reference. These mode shapes can be obtained from any finite element code. The floating frame undergoes a pseudo rigid-body motion which allows for a large rigid body translation and rotation and fully preserves the coupling with the local structural deformation. The formulation relies on the ability of the flow solver to provide the total fluid action on the body including e.g. the viscous forces, hydrostatic and hydrodynamic forces, slamming forces and the fluid damping. A numerical simulation of a flexible barge is provided and compared to experiments to show that the VOF-based flow solver has this ability and the code has the potential to predict the global hydroelastic responses accurately.