• Title/Summary/Keyword: Perfectly Plastic Material

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A Study on Dynamic Crack-Tip Fields in a Strain Softening Material

  • Jang, Seok-Ki;Xiankui Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.4
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    • pp.494-502
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    • 2003
  • The near-tip field of mode-I dynamic cracks steadily propagating in a strain softening material is investigated under plane strain conditions. The material is assumed to be incompressible and its deformation obeys the $J_2$ flow theory of plasticity. A power-law stress-strain relation with strain softening is adopted to account for the damage behavior of materials near the dynamic crack tip. By assuming that the stresses and strain have the same singularity at the crack tip. this paper obtains a fully continuous dynamic crack-tip field in the damage region. Results show that the stress and strain components the same logarithmic singularity of (In(R/r))$\delta$, and the angular variations of filed quantities are identical to those corresponding to the dynamic cracks in the elastic-perfectly plastic material.

Collision Behavior Evaluation of Flexible Concrete Mattress Depending on Material Models (재료모델에 따른 유연 콘크리트 매트리스의 충돌 거동 평가)

  • Ryu, Yeon-Sun;Cho, Hyun-Man;Kim, Seo-Hyun
    • Journal of Ocean Engineering and Technology
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    • v.29 no.1
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    • pp.70-77
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    • 2015
  • The purpose of this study was to provide fundamental data for an anchor collision simulation of an FCM (flexible concrete mattress). Numerical material models (elastic-perfectly plastic model, Drucker-Prager model, and RHT concrete model) were compared. ANSYS Explicit Dynamics was used for collision analyses. An FE model was used for the anchor, FCM, andreinforcement bars. The results showed that the behavior of the FCM was verydifferent that those ofthe material models. In particular, the effect of the pressure dependent strength was most noticeable among the properties of concrete.

Numerical Modelling on the Strength of Reinforced Concrete Simple-Continuous Deep Beams with Openings by an Upper-Bound Theorem (상계치 이론을 이용한 개구부를 갖는 철근콘크리트 단순·연속 깊은 보 내력의 수치해석 모델)

  • Yang, Keun-Hyeok;Eun, Hee-Chang;Chung, Heon-Soo
    • Journal of the Korea Concrete Institute
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    • v.18 no.4 s.94
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    • pp.469-477
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    • 2006
  • Models to predict the ultimate strength of simply supported or continuous deep beams with web openings are proposed. The derived equations are based on upper-bound theorem. The concrete is assumed as a perfectly plastic material obeying the modified Coulomb failure criteria with zero tension cutoff. Reinforcing bar is considered as elastic-perfectly plastic material and its stress is calculated from the limiting principal compressive strain of concrete. The governing failure mechanisms based on test results are idealized as rigid moving blocks separated by a hyperbolic yield line. The effective compressive strength of concrete is calculated from the formula proposed by Vecchio and Collins. Comparisons with existing test results are performed, and they show good agreement.

Lower Bound Net-Section Limit Loads for Circumferential Part-Through Surface Cracked Pipes under Combined Pressure and Bending (내압과 굽힘의 복합하중을 받는 원주방향 표면균열 배관에 대한 하한계 실단면 한계하중)

  • Oh, Chang-Kyun;Kim, Jong-Sung;Jin, Te-Eun;Kim, Yun-Jae
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1772-1777
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    • 2007
  • This paper provides plastic limit loads of pipes with constant-depth, circumferential part-through surface cracks under combined pressure and bending. A key issue is to postulate discontinuous hoop stress distributions in the net-section. Validity of the proposed limit load solutions is checked against the results from three-dimensional (3-D) finite element (FE) limit analyses using elastic-perfectly plastic material behavior.

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Limit analysis of plates-a finite element formulation

  • Capsoni, Antonio;Corradi, Leone
    • Structural Engineering and Mechanics
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    • v.8 no.4
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    • pp.325-341
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    • 1999
  • A procedure for the computation of the load carrying capacity of perfectly plastic plates in bending is presented. The approach, based on the kinematic theorem of limit analysis, requires the evaluation of the minimum of a convex, but non-smooth, function under linear equality constraints. A systematic solution procedure is devised, which detects and eliminates the finite elements which are predicted as rigid in the collapse mechanism, thus reducing the problem to the search for the minimum of a smooth and essentially unconstrained function of nodal velocities. Both Kirchhoff and Mindlin plate models are considered. The effectiveness of the approach is illustrated by means of some examples.

Burst Pressure Evaluation for Through-Wall Cracked Tubes in the Steam Generator (관통균열이 존재하는 증기발생기 전열관의 파열압력 평가)

  • Kim, Hyun-Su;Kim, Jong-Sung;Jin, Tae-Eun;Kim, Hong-Deok;Chung, Han-Sup
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.7
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    • pp.1006-1013
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    • 2004
  • Operating experience of steam generators shows that the tubes are degraded by stress corrosion cracking, fretting wear and so on. These defected tubes could stay in service if it is proved that the tubes have sufficient structural margin to preclude the risk of tube bursting. This paper provides detailed plastic limit pressure solutions for through-wall cracks in the steam generator tubes. These are developed based on three dimensional(3D) finite element analyses assuming elastic-perfectly plastic material behavior. Both axial and circumferential through-wall cracks in free span and in u-bend regions are considered. The resulting limit pressure solutions are given in a polynomial form, and thus can be simply used in practical integrity assessment of the steam generator tubes.

A numerical stepwise approach for cavity expansion problem in strain-softening rock or soil mass

  • Zou, Jin-Feng;Yang, Tao;Ling, Wang;Guo, Wujun;Huang, Faling
    • Geomechanics and Engineering
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    • v.18 no.3
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    • pp.225-234
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    • 2019
  • A numerical stepwise approach for cavity expansion problem in strain-softening rock or soil mass is investigated, which is compatible with Mohr-Coulomb and generalized Hoek-Brown failure criteria. Based on finite difference method, plastic region is divided into a finite number of concentric rings whose thicknesses are determined internally to satisfy the equilibrium and compatibility equations, the material parameters of the rock or soil mass are assumed to be the same in each ring. For the strain-softening behavior, the strength parameters are assumed to be a linear function of deviatoric plastic strain (${\gamma}p^*$) for each ring. Increments of stress and strain for each ring are calculated with the finite difference method. Assumptions of large-strain for soil mass and small-strain for rock mass are adopted, respectively. A new numerical stepwise approach for limited pressure and plastic radius are obtained. Comparisons are conducted to validate the correctness of the proposed approach with Vesic's solution (1972). The results show that the perfectly elasto-plastic model may underestimate the displacement and stresses in cavity expansion than strain-softening coefficient considered. The results of limit expansion pressure based on the generalised H-B failure criterion are less than those obtained based on the M-C failure criterion.

Fabrication of Metallic Sandwich Plates with Inner Dimpled Shell Structure and Static Bending Test (딤플형 내부구조 금속 샌드위치 판재의 제작 및 정적 굽힘 실험)

  • Seong Dae-Yong;Jung Chang-Gyun;Yoon Seok-Joon;Lee Sang-Hoon;Ahn Dong-Gyu;Yang Dong-Yol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.6 s.249
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    • pp.653-661
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    • 2006
  • Metallic sandwich plates with various inner cores have important new features with not only ultra-light material characteristics and load bearing function but also multifunctional characteristics. Because of production possibility on the large scale and a good geometric precision, sandwich plates with inner dimpled shell structure from a single material have advantages as compared with other solid sandwich plates. Inner dimpled shell structures can be fabricated with press or roll forming process, and then bonded with two face sheets by multi-point resistance welding or adhesive bonding. Elasto-plastic bending behavior of sandwich plates have been predicted analytically and measured. The measurements have shown that elastic perfectly plastic approximation can be conveniently employed with less than 10% error in elastic stiffness, collapse load, and energy absorption. The dominant collapse modes are face buckling and bonding failure after yielding. Sandwich plates with inner dimpled shell structure can absorb more energy than other types of sandwich plates during the bending behavior.

Tensile Design Criteria Evaluation of Cast-In-Place Anchor by Numerical Analysis (수치해석에 의한 직매형 앵커기초의 인장 설계기준 평가)

  • 장정범;서용표;이종림
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.209-216
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    • 2004
  • Numerical analysis is carried out to identify the appropriateness of the design codes that is available for the tensile design of fastening system at Nuclear Power Plant (NPP) in this study. This study is intended for the cast-in-place anchor that is widely used for the fastening of equipment in Korean NPPs. The microplane model and the elastic-perfectly plastic model are employed for the quasi-brittle material like concrete and for the ductile material like anchor bolt as constitutive model for numerical analysis and smeared crack model is employed for the crack and damage phenomena. The developed numerical model is verified on a basis of the various test data of cast-in-place anchor. The appropriateness of both ACI 349 Code and CCD approach of CEB-FIP Code is evaluated for the tensile design of cast-in-place anchor and it is proved that both design codes give a conservative results compared with real tensile capacity of cast-in-place anchor.

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A study on the Dislocation-Free Shallow Trench Isolation (STI) Process (Dislocation-Free Shallow Trench Isolation 공정 연구)

  • Yoo, Hae-Young;Kim, Nam-Hoon;Kim, Sang-Yong;Lee, Woo-Sun;Chang, Eui-Goo
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2005.11a
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    • pp.84-85
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    • 2005
  • Dislocations are often found at Shallow Trench Isolation (STI) process after repeated thermal cycles. The residual stress after STI process often leads defect like dislocation by post STI thermo-mechanical stress. Thermo-mechanical stress induced by STI process is difficult to remove perfectly by plastic deformation at previous thermal cycles. Embedded flash memory process is very weak in terms of post STI thermo-mechanical stress, because it requires more oxidation steps than other devices. Therefore, dislocation-free flash process should be optimized.

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