Stress Singularity Analysis at an Interfacial Corner Between Anisotropic Bimaterials Under Thermal Stress Yoshiaki NOMURA, Toru IKEDA*4 and Noriyuki M

Similar documents

Study on Application of the cos a Method to Neutron Stress Measurement Toshihiko SASAKI*3 and Yukio HIROSE Department of Materials Science and Enginee

The Evaluation of LBB Behavior and Crack Opening Displacement on Statically Indeterminate Piping System Subjected to Monotonic Load The plastic collap

Study on Throw Accuracy for Baseball Pitching Machine with Roller (Study of Seam of Ball and Roller) Shinobu SAKAI*5, Juhachi ODA, Kengo KAWATA and Yu

A Study on Throw Simulation for Baseball Pitching Machine with Rollers and Its Optimization Shinobu SAKAI*5, Yuichiro KITAGAWA, Ryo KANAI and Juhachi

JFE.dvi

Developement of Plastic Collocation Method Extension of Plastic Node Method by Yukio Ueda, Member Masahiko Fujikubo, Member Masahiro Miura, Member Sum

Fig. 2 Signal plane divided into cell of DWT Fig. 1 Schematic diagram for the monitoring system

Fig. 4. Configuration of fatigue test specimen. Table I. Mechanical property of test materials. Table II. Full scale fatigue test conditions and test

The Evaluation on Impact Strength of Structural Elements by Means of Drop Weight Test Elastic Response and Elastic Limit by Hiroshi Maenaka, Member Sh

Flow Around a Circular Cylinder with Tangential Blowing near a Plane Boundary (2nd Report, A Study on Unsteady Characteristics) Shimpei OKAYASU, Kotar

A Study of Effective Application of CG Multimedia Contents for Help of Understandings of the Working Principles of the Internal Combustion Engine (The

untitled

The Effect of the Circumferential Temperature Change on the Change in the Strain Energy of Carbon Steel during the Rotatory Bending Fatigue Test by Ch

Key Words: average behavior, upper and lower bounds, Mori-Tanaka theory, composites, polycrystals

電子部品はんだ接合部の熱疲労寿命解析

Natural Convection Heat Transfer in a Horizontal Porous Enclosure with High Porosity Yasuaki SHIINA*4, Kota ISHIKAWA and Makoto HISHIDA Nuclear Applie

Optical Lenses CCD Camera Laser Sheet Wind Turbine with med Diffuser Pitot Tube PC Fig.1 Experimental facility. Transparent Diffuser Double Pulsed Nd:

1. Precise Determination of BaAl2O4 Cell and Certification of the Formation of Iron Bearing Solid Solution. By Hiroshi UCHIKAWA and Koichi TSUKIYAMA (

Instability of Aerostatic Journal Bearings with Porous Floating Bush at High Speeds Masaaki MIYATAKE *4, Shigeka YOSHIMOTO, Tomoaki CHIBA and Akira CH

IPSJ SIG Technical Report Vol.2012-CG-148 No /8/29 3DCG 1,a) On rigid body animation taking into account the 3D computer graphics came

EQUIVALENT TRANSFORMATION TECHNIQUE FOR ISLANDING DETECTION METHODS OF SYNCHRONOUS GENERATOR -REACTIVE POWER PERTURBATION METHODS USING AVR OR SVC- Ju

渡辺(2309)_渡辺(2309)

3. ( 1 ) Linear Congruential Generator:LCG 6) (Mersenne Twister:MT ), L 1 ( 2 ) 4 4 G (i,j) < G > < G 2 > < G > 2 g (ij) i= L j= N

Keywords: corotational method, Rigid-Bodies-Spring model, accuracy, geometrical nonlinearity

Computer Simulation in Thermoplastic Injection Molding Takaaki Matsuoka Toyota Central Research and Development Laboratories, Inc. 41-1, Yokomichi, Na

A Higher Weissenberg Number Analysis of Die-swell Flow of Viscoelastic Fluids Using a Decoupled Finite Element Method Iwata, Shuichi * 1/Aragaki, Tsut

1 Fig. 1 Extraction of motion,.,,, 4,,, 3., 1, 2. 2.,. CHLAC,. 2.1,. (256 ).,., CHLAC. CHLAC, HLAC. 2.3 (HLAC ) r,.,. HLAC. N. 2 HLAC Fig. 2

n-jas09.dvi

放水の物理的火災抑制効果に着目した地域住民の消火活動モデル

Plasticity-Induced Martensitic Transformation in Austenitic Stainless Steels SUS 304 and SUS 316 L at Room and Liquid Nitrogen Temperatures (Quantitat

untitled

A Feasibility Study of Direct-Mapping-Type Parallel Processing Method to Solve Linear Equations in Load Flow Calculations Hiroaki Inayoshi, Non-member

０８０１３９１，繊維学会ファイバ１２月号／報文－０１－西川


75 unit: mm Fig. Structure of model three-phase stacked transformer cores (a) Alternate-lap joint (b) Step-lap joint 3 4)

Stepwise Chow Test * Chow Test Chow Test Stepwise Chow Test Stepwise Chow Test Stepwise Chow Test Riddell Riddell first step second step sub-step Step

Table 1. Reluctance equalization design. Fig. 2. Voltage vector of LSynRM. Fig. 4. Analytical model. Table 2. Specifications of analytical models. Fig

Study on Fracture Strength Assessment (The 1st Report) Comparison of JWES approach and R6 approach by Susumu Machida, Member Yukito Hagiwara, Member H

第６２巻　第１号　平成２４年４月／石こうを用いた木材ペレット

1) K. J. Laidler, "Reaction Kinetics", Vol. II, Pergamon Press, New York (1963) Chap. 1 ; P. G. Ashmore, "Catalysis and Inhibition of Chemical Reactio

DEIM Forum 2009 E

1: A/B/C/D Fig. 1 Modeling Based on Difference in Agitation Method artisoc[7] A D 2017 Information Processing

Fig. 1 Schematic construction of a PWS vehicle Fig. 2 Main power circuit of an inverter system for two motors drive

..,,...,..,...,,.,....,,,.,.,,.,.,,,.,.,.,.,,.,,,.,,,,.,,, Becker., Becker,,,,,, Becker,.,,,,.,,.,.,,

Bull. of Nippon Sport Sci. Univ. 47 (1) Devising musical expression in teaching methods for elementary music An attempt at shared teaching

日立金属技報　Vol.34

untitled

Fig. 3 Flow diagram of image processing. Black rectangle in the photo indicates the processing area (128 x 32 pixels).

Numerical Simulation for Abrupt Contraction Flow of Fiber Suspensions in Polymeric Fluid Kazunori Yasuda, Taro Nishimura* and Kiyoji Nakamura Departme

特-3.indd

The Phase Behavior of Monooleoylglycerol-Water Systems Mivoshi Oil & Fat Co.. Ltd. Faculty of Science and Technology, Science University of Tokyo Inst

Table 1 Experimental conditions Fig. 1 Belt sanded surface model Table 2 Factor loadings of final varimax criterion 5 6

Studies of Foot Form for Footwear Design (Part 9) : Characteristics of the Foot Form of Young and Elder Women Based on their Sizes of Ball Joint Girth


Fig. 1. Horizontal displacement of the second and third order triangulation points accompanied with the Tottori Earthquake of (after SATO, 1973)

ID 3) 9 4) 5) ID 2 ID 2 ID 2 Bluetooth ID 2 SRCid1 DSTid2 2 id1 id2 ID SRC DST SRC 2 2 ID 2 2 QR 6) 8) 6) QR QR QR QR

IR0036_62-3.indb

(MIRU2008) HOG Histograms of Oriented Gradients (HOG)

: u i = (2) x i Smagorinsky τ ij τ [3] ij u i u j u i u j = 2ν SGS S ij, (3) ν SGS = (C s ) 2 S (4) x i a u i ρ p P T u ν τ ij S c ν SGS S csgs

施　ほか／３－１８

X線分析の進歩36 別刷

29 Short-time prediction of time series data for binary option trade

[2] OCR [3], [4] [5] [6] [4], [7] [8], [9] 1 [10] Fig. 1 Current arrangement and size of ruby. 2 Fig. 2 Typography combined with printing

untitled

A2, Vol. 69, No. 2 Vol. 16, I_237-I_246, Analytical Investigation of Shear Force Distribution of Perfobond Strip with Plural Perforations * ** *


1..FEM FEM 3. 4.

149 (Newell [5]) Newell [5], [1], [1], [11] Li,Ryu, and Song [2], [11] Li,Ryu, and Song [2], [1] 1) 2) ( ) ( ) 3) T : 2 a : 3 a 1 :

,,.,.,,.,.,.,.,,.,..,,,, i

Journal of Geography 116 (6) Configuration of Rapid Digital Mapping System Using Tablet PC and its Application to Obtaining Ground Truth

202

IPSJ SIG Technical Report Vol.2016-CE-137 No /12/ e β /α α β β / α A judgment method of difficulty of task for a learner using simple

07_学術.indd

ON STRENGTH AND DEFORMATION OF REINFORCED CONCRETE SHEAR WALLS By Shigeru Mochizuki Concrete Journal, Vol. 18, No. 4, April 1980, pp. 1 `13 Synopsis A

特-7.indd

2. Eades 1) Kamada-Kawai 7) Fruchterman 2) 6) ACE 8) HDE 9) Kruskal MDS 13) 11) Kruskal AGI Active Graph Interface 3) Kruskal 5) Kruskal 4) 3. Kruskal

teionkogaku43_527

The Eevaluation One Bottle Type Silane Coupling Agents Masahiro Aida, Hideo Kanaya, Taira Kobayashi, Keiji Utsugizaki, Yoshizumi Murata, Tohru Hayakaw

Vol.11-HCI-15 No. 11//1 Xangle 5 Xangle 7. 5 Ubi-WA Finger-Mount 9 Digitrack 11 1 Fig. 1 Pointing operations with our method Xangle Xa

JOURNAL OF THE JAPANESE ASSOCIATION FOR PETROLEUM TECHNOLOGY VOL. 66, NO. 6 (Nov., 2001) (Received August 10, 2001; accepted November 9, 2001) Alterna

52-2.indb


25 fmri A study of discrimination of musical harmony using brain activity obtained by fmri

Mikio Yamamoto: Dynamical Measurement of the E-effect in Iron-Cobalt Alloys. The AE-effect (change in Young's modulus of elasticity with magnetization

Photo. 1. Scale banding in roughing mill work roll. Photo. 2. Etched micro-structure of alloyed grain iron roll. Photo. 3. Etched micro-structure of a

Study of the "Vortex of Naruto" through multilevel remote sensing. Abstract Hydrodynamic characteristics of the "Vortex of Naruto" were investigated b

DEIM Forum 2009 C8-4 QA NTT QA QA QA 2 QA Abstract Questions Recomme

Fig. 1 Sampling positions from the ingot. Table 2 Chemical compositions of base metal (%) Fig. 2 (unit: mm) Shape and size of fatigue test specimen. T




untitled


Vol.7 No.2 ( ) in mm m/s 40 m/s 20 m/s m/s 20m/s 1999 US ,

A Navigation Algorithm for Avoidance of Moving and Stationary Obstacles for Mobile Robot Masaaki TOMITA*3 and Motoji YAMAMOTO Department of Production

Microsoft Word - 15.宮崎貴紀子

Input image Initialize variables Loop for period of oscillation Update height map Make shade image Change property of image Output image Change time L


B HNS 7)8) HNS ( ( ) 7)8) (SOA) HNS HNS 4) HNS ( ) ( ) 1 TV power, channel, volume power true( ON) false( OFF) boolean channel volume int

Transcription:

Stress Singularity Analysis at an Interfacial Corner Between Anisotropic Bimaterials Under Thermal Stress Yoshiaki NOMURA, Toru IKEDA*4 and Noriyuki MIYAZAKI Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto-shi, Kyoto, 606-8501 Japan A numerical method using the path independent H-integral based on the Betti reciprocal principle was developed to analyze the stress intensity factors of an interfacial corner between anisotropic bimaterials under thermal stress. According to the theory of linear elasticity, asymptotic stress near the tip of a sharp interfacial corner is generally singular as a result of a mismatch of elastic constants. The singular order and the eigenfunctions are obtained using the Williams eigenfunction method, which depends on material properties and the geometry of an interfacial corner. The singular order is real, complex or power-logarithmic. The amplitudes of the singular stress terms can be calculated using the H-integral. The stress and displacement around an interfacial corner for the H-integral are obtained by the finite element analysis. A new definition of the stress intensity factors of an interfacial corner that is proposed involves a smooth expansion of the stress intensity factors of an interfacial crack between dissimilar materials. Asymptotic solutions of stress and displacement around an interfacial corner are uniquely obtained using these stress intensity factors. Key Words: H-integral, Stress Singularity, Interfacial Corner, Anisotropic, Thermal Stress, Stress Intensity Factor, Stroh Formalism, Finite Element Method E-mail : ikeda@solid.me.kyoto-u.ac.jp

Fig. 1 Geometry of an interfacial corner.

Fig. 2 Configuration of Betti reciprocal principle counter. Fig. 3 Body force analogy: (a)the original bod) (b)the analogous body.

Fig. 4 Singular order for the corner in an isotropic Fig. 5 Singular order for an interfacial corner between homogeneous material. anisotropic bimaterials. Fig. 6 The interfacial corner between anisotropic bimaterials. (Uniform change of temperature,

Fig. 7 Stress distribution along the bimaterial interface. Table 2 Stress intensity factors. (Fig.6) Fig. 8 Stress distribution along the bimaterial interface. Fig. 9 bimaterials.(uniform The interfacial corner between anisotropic tension and change of temperature)

Table 3 Eigenvalues, Scalar coefficients, Stress intensity factors. (Fig.9) Fig. 10 Stress distribution along the bimaterial interface. Fig. 11 The interfacial crack between anisotropic bimaterials.(uniform change of temperature, Fig. 12 Stress intensity factors calculated from different H-integral radii.

(1) Carpenter W. C., Calculation of fracture mechanics parameters for a general corner, International Journal of fracture, Vol.24 (1984), pp.45-58. (2) Hwu C., Omiya M., Kishimoto K., A key matrix N for the stress singularity of anisotropic elastic composite wedges, JSME International Journal Series A, Vol.46 (2003), pp.40-50. (3) Ting T. C. T., Anisotropic Elasticity: Theory and Applications, Oxford University Press, (1996), pp.134-263. (4) Babuska I., Miller A., The post processing approach in the finite element method-part 2: the calculation of stress intensity factors, International Journal for Numerical Methods in Engineering, Vol.20 (1984), pp.1111-1129. (5) Sinclair G. B., Okajima M., Griffin J. H., Path independent integrals for computing stress intensity factors at sharp corners in elastic plates, International Journal for Numerical Methods in Engineering, Vol.20 (1984), pp.999-1008. (6) Banks-Sills L., A conservative integral for determining stress intensity factors of a bimaterial strip, International Journal of Fracture, Vol.86 (1997), pp.385-398. (7) Banks-Sills L., Ishbir C., A conservative integral for bimaterial notches subjected to thermal stresses, International Journal for Numerical Methods in Engineering, Vol.60 (2004), pp.1075-1102. (8) Labossiere P. E. W., Dunn M. L., Stress intensities at interface corners in anisotropic bimaterials, Engineering Fracture Mechanics, Vol.62 (1999), pp.555-575. (9) Hwu C. and Kuo T. L., A unified definition for stress intensity factors of interface corners and cracks, International Journal of Solids and Structures, Vol.44 (2007), pp.6340-6359. (10) Munz D., Fett T., Yang Y. Y., The regular stress term in bonded dissimilar materials after a change in temperature, Engineering Fracture Mechanics, Vol.44 (1993), pp.185-194. (11) Dempsey J. P., Power-logarithmic stress singularities at bimaterial corners and interface cracks, Journal adhesion Science and Technology, Vol.9 (1995), pp.253-265. (12) Hwu C., Fracture parameters for the orthotropic bimaterial interface cracks, Engineering Fracture Mechanics, Vol.45 (1993), pp.89-97. (13) Qian W., Sun C. T., Methods for stress intensity factors for interfacial cracks between two orthotropic materials, International Journal of Solids and Structures, Vol.35 (1998), pp.3317-3330. (14) Kurashige K. et al., Mechanical properties of a Gd2SiO5 single crystal, Journal of applied physics, Vol.36 (1997), pp.2242-2246. (15) Nagai, M., Ikeda T. and Miyazaki, N., Stress Intensity Factors Analyses of Three-Dimensional Interface Crack between Anisotropic Dissimilar Materials, Transactions of the Japan Society of Mechanical Engineers (Series A), Vol.72, No.724 (2006), pp.1992-1999.

2024 © docsplayer.net プライバシー | 利用規約 | フィードバック