Publications

Categories	Multiscale Multiphysics Beyond FEM Verification Validation Fatigue Brittle fracture Ductile fracture Creep Crack arrest Fracture criterion In-situ observation Material characterisation
Authors, Keywords
Years	ー

No.	Authors	Title	Journal	Volume (Year), Pages	Categories
76	Tianyu He Kota Kishi Naoki Morita Naoto Mitsume Fuminori Yanagimoto Yun-Jae Kim Kazuki Shibanuma*	Strategy for simulating high-speed crack propagation in 3D-plate structures based on S-version FEM	International Journal of Mechanical Sciences	274 (2024), 109261.	Beyond FEM Brittle fracture Crack arrest Fracture criterion In-situ observation
75	Shengwen Tu Naoki Morita Tsutomu Fukui Kazuki Shibanuma*	The s-version finite element method for non-linear material problems	Applied Mathematical Modelling	126 (2024), 287-309.	Beyond FEM Verification
74	Hongchang Zhou Zijie Liu Shoichi Kikuchi Kazuki Shibanuma*	Analysis of fatigue performance of austenitic stainless steels with bimodal harmonic structures based on multiscale model simulations	Materials & Design	226 (2023), 111657.	Multiscale Validation Fatigue Material characterisation
73	Kazuki Shibanuma* Taiga Fukada Hideo Yasumoto Kenji Tokuda Byung-Nam Kim Kamran Nikbin	Representative volume element model for quantitatively predicting the influence of 3D polycrystalline morphology on Coble creep deformation	Materials & Design	226 (2023), 111635.	Multiscale Multiphysics Validation Creep
72	Tianyu He Naoto Mitsume Fumitaka Yasui Naoki Morita Tsutomu Fukui Kazuki Shibanuma*	Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification	Computer Methods in Applied Mechanics and Engineering	404 (2023), 115843.	Beyond FEM Verification
71	Hongchang Zhou Yuta Suzuki Masao Kinefuchi Siegfried Schmauder Kiarash Dogahe Kazuki Shibanuma*	Bridging strategy between microscopic and macroscopic crack growth simulations to predict fatigue strength of steels	International Journal of Fatigue	168 (2023), 107386.	Multiscale Validation Fatigue Fracture criterion Material characterisation
70	Kazuki Shibanuma* Shengwen Tu* Shota Suzuki Zhuocheng Yu Ryoma Kato Asato Hatamoto	Ductile crack propagation path depending on material properties: Experimental results and discussions based on numerical simulations	Materials & Design	223 (2022), 111158.	Validation Ductile fracture In-situ observation Material characterisation
69	Kazuki Shibanuma* Kota Kishi Tianyu He Naoki Morita Naoto Mitsume Tsutomu Fukui	S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid	Computer Methods in Applied Mechanics and Engineering	399 (2022), 115374.	Beyond FEM Verification Brittle fracture Crack arrest
68	Hongchang Zhou Yuta Suzuki Masao Kinefuchi Kazuki Shibanuma*	Applicability of the multiscale model for predicting fatigue strength to short and long crack problems	ISIJ International	62 (2022), 2126-2131.	Multiscale Validation Fatigue Fracture criterion
67	Ji-Su Kim Yun-Jae Kim* Myeong-Woo Lee Ki-Seok Kim Kazuki Shibanuma	Numerical method to characterize probabilistic energy distribution of drop weight tear test at ductile-brittle transition temperatures	Engineering Fracture Mechanics	269 (2022), 108540.	Validation Brittle fracture Ductile fracture Fracture criterion Material characterisation
66	Hongchang Zhou Zijie Liu Masao Kinefuchi Kazuki Shibanuma*	Multiscale modelling strategy for predicting fatigue lives and limits of steels based on a generalised evaluation method of grain boundaries effects	International Journal of Fatigue	158 (2022), 106749.	Multiscale Validation Fatigue Fracture criterion Material characterisation
65	Shengwen Tu Shota Suzuki Zhuocheng Yu Kazuki Shibanuma*	Hybrid experimental-numerical strategy for efficiently and accurately identifying post-necking hardening and ductility diagram parameters	International Journal of Mechanical Sciences	219 (2022), 107074.	Validation Ductile fracture Fracture criterion In-situ observation Material characterisation
64	Ji-Su Kim Yun-Jae Kim* Myeong-Woo Lee Ki-Seok Kim Kazuki Shibanuma	Finite element simulation of drop weight tear test of API X80 at ductile-brittle transition temperatures	International Journal of Mechanical Sciences	191 (2021), 106103.	Validation Brittle fracture Ductile fracture Fracture criterion Material characterisation
63	Ji-Su Kim Yun-Jae Kim* Myeong-Woo Lee Ki-Seok Kim Kazuki Shibanuma	Fracture simulation model for API X80 Charpy test in ductile-brittle transition temperatures	International Journal of Mechanical Sciences	182 (2020), 105771.	Validation Brittle fracture Ductile fracture Fracture criterion Material characterisation
62	Tsunehisa Handa* Tetsuya Tagawa Yusuke Shimada Tomoya Kawabata Takehiro Inoue Masahito Kaneko Kei Sugimoto Shuji Aihara Kazuki Shibanuma	Effect of stress reflection on dynamic stress intensity factor in crack arrest toughness testing	International Journal of Offshore and Polar Engineering	30 (2020), 375-381.	Brittle fracture Crack arrest
61	Kota Kishi Yuuki Takeoka Tsutomu Fukui Toshiyuki Matsumoto Katsuyuki Suzuki Kazuki Shibanuma*	Dynamic crack propagation analysis based on the s-version of the finite element method	Computer Methods in Applied Mechanics and Engineering	366 (2020), 113091.	Beyond FEM Verification Brittle fracture Crack arrest
60	Kota Kishi Fuminori Yanagimoto Tsutomu Fukui Toshiyuki Matsumoto Kazuki Shibanuma*	Analysis of rapid crack arrestability enhancement by structural factors in cross-joint components using a transparent elastic solid	International Journal of Mechanical Sciences	174 (2020), 105502.	Validation Brittle fracture Crack arrest In-situ observation
59	Tomoya Kawabata* Takehiro Inoue Tetsuya Tagawa Tsutomu Fukui Yasuhito Takashima Kazuki Shibanuma Shuji Aihara	Historical review of research on brittle crack propagation arresting technology for large welded steel structures developed in Japan with the application of Kca parameters	Marine Structures	71 (2020), 102737.	Brittle fracture Crack arrest
58	Hiroaki Ito Yuta Suzuki Hideaki Nishikawa Masao Kinefuchi Manabu Enoki Kazuki Shibanuma*	Multiscale model prediction of ferritic steel fatigue strength based on microstructural information, tensile properties, and loading conditions (no adjustable material constants)	International Journal of Mechanical Sciences	170 (2020), 105339.	Multiscale Validation Fatigue Fracture criterion In-situ observation Material characterisation
57	Fuminori Yanagimoto* Kazuki Shibanuma Katsuyuki Suzuki Toshiyuki Matsumoto	A physics based model to simulate brittle crack arrest in steel plates incorporating experimental and numerical evidences	Engineering Fracture Mechanics	221 (2019), 106660.	Validation Brittle fracture Crack arrest Fracture criterion
56	Fuminori Yanagimoto Takuhiro Hemmi Yuta Suzuki Yasuhito Takashima Tomoya Kawabata Kazuki Shibanuma*	Contribution of grain size to resistance against cleavage crack propagation in ferritic steel	Acta Materialia	177 (2019), 96-106.	Validation Brittle fracture Crack arrest Fracture criterion In-situ observation Material characterisation
55	Kazuki Shibanuma* Yuta Suzuki Kazuya Kiriyama Katsuyuki Suzuki Hiroyuki Shirahata	A model of cleavage crack propagation in a BCC polycrystalline solid based on the extended finite element method	Acta Materialia	176 (2019), 232-241.	Beyond FEM Validation Brittle fracture Fracture criterion
54	Fuminori Yanagimoto* Kazuki Shibanuma Toshiyuki Matsumoto Katsuyuki Suzuki	Governing factors of the local tensile stress in the vicinity of a rapidly propagating crack tip in elastic-viscoplastic solids	Engineering Fracture Mechanics	218 (2019), 106548.	Validation Brittle fracture Crack arrest Fracture criterion
53	Su Xu* Chris Bassindale Bruce W. Williams Xin Wang William R. Tyson Kazuki Shibanuma	Comments on CTOA transferability in “Crack tip opening angle during unstable ductile crack propagation of a high-pressure gas pipeline”	Engineering Fracture Mechanics	214 (2019), 335-338.	Validation Ductile fracture Crack arrest Fracture criterion
52	Kazuki Shibanuma* Takahiro Hosoe Hikaru Yamaguchi Masatoshi Tsukamoto Katsuyuki Suzuki Shuji Aihara	Crack tip opening angle during unstable ductile crack propagation of a high-pressure gas pipeline	Engineering Fracture Mechanics	204 (2018), 434-453.	Validation Ductile fracture Crack arrest Fracture criterion In-situ observation
51	Fuminori Yanagimoto* Kazuki Shibanuma Yo Nishioka Yuya Shirai Katsuyuki Suzuki Toshiyuki Matsumoto	Local stress evaluation of rapid crack propagation in finite element analyses	International Journal of Solids and Structures	144-145 (2018), 66-77.	Verification Brittle fracture Crack arrest
50	Takahiro Hosoe, Kazuki Shibanuma* Hikaru Yamaguchi Masatoshi Tsukamoto Katsuyuki Suzuki Shuji Aihara	Underwater burst tests for evaluating unstable ductile crack arrestability in offshore pipelines	Engineering Fracture Mechanics	195 (2018), 142-161.	Multiphysics Ductile fracture Crack arrest Fracture criterion In-situ observation
49	Fuminori Yanagimoto* Kazuki Shibanuma Katsuyuki Suzuki Toshiyuki Matsumoto Shuji Aihara	Local stress in the vicinity of the propagating cleavage crack tip in ferritic steel	Materials & Design	144 (2018), 361-373.	Brittle fracture Crack arrest Fracture criterion Material characterisation
48	Kazuki Shibanuma* Fuminori Yanagimoto Katsuyuki Suzuki Shuji Aihara	Brittle crack propagation/arrest behavior in steel plate – Part III: Discussions on arrest design	Engineering Fracture Mechanics	190 (2018), 104-119.	Validation Brittle fracture Crack arrest Fracture criterion
47	Kazuki Shibanuma* Koya Ueda Hiroaki Ito Yoshiki Nemoto Masao Kinefuchi Katsuyuki Suzuki Manabu Enoki	Model for predicting fatigue life and limit of steels based on micromechanics of small crack growth	Materials & Design	139 (2018), 269-282.	Multiscale Validation Fatigue Fracture criterion In-situ observation Material characterisation
46	Kazuki Shibanuma* Yoshiki Nemoto Takashi Hiraide Katsuyuki Suzuki Sunao Sadamatsu Yoshitaka Adachi Shuji Aihara	A strategy to predict the fracture toughness of steels with a banded ferrite-pearlite structure based on the micromechanics of brittle fracture initiation	Acta Materialia	144 (2018), 386-399.	Multiscale Validation Brittle fracture Fracture criterion Material characterisation
45	Kazuki Shibanuma* Takahiro Hosoe Hiroaki Nakai Akiyasu Morita Shuji Aihara	A model to evaluate unstable ductile crack arrestability of offshore pipeline	Engineering Fracture Mechanics	178 (2017), 126-147.	Multiphysics Validation Ductile fracture Crack arrest Fracture criterion
44	Yoshiki Nemoto Kazuki Shibanuma* Katsuyuki Suzuki Sunao Sadamatsu Yoshitaka Adachi Shuji Aihara	3D observation of micro-cracks as cleavage fracture initiation site in ferrite-pearlite steel	ISIJ International	57 (2017), 746-754.	Brittle fracture Fracture criterion
43	Kazuki Shibanuma* Yoshiki Nemoto Takashi Hiraide Katsuyuki Suzuki Shuji Aihara	Investigation of micro-crack initiation as a trigger of cleavage fracture in ferrite-pearlite steels	ISIJ International	57 (2017), 365-373.	Brittle fracture Fracture criterion
42	Hiroaki Nakai* Kazuki Shibanuma Shuji Aihara	Underwater pipe rupture disk tests simulating fractures in offshore pipelines and development of numerical model for gas decompression (in Japanese)	Journal of the Japan Society of Naval Architects and Ocean Engineers	23 (2016), 115-128.	Multiphysics Validation Ductile fracture Crack arrest
41	Yoshiki Nemoto* Kazuki Shibanuma Katsuyuki Suzuki Shuji Aihara Takashi Hiraide	Quantitative evaluation of microstructural influence on the brittle fracture toughness of ferrite-pearlite steels	International Journal of Offshore and Polar Engineering	26 (2016), 287-295.	Brittle fracture Fracture criterion
40	Itsuki Kawata* Takashi Hiraide Kazuki Shibanuma Tomoya Kawabata Shuji Aihara	Development of cleavage fracture initiation model for bainite steels based on micro mechanism	International Journal of Offshore and Polar Engineering	26 (2016), 278-286.	Multiscale Validation Brittle fracture Fracture criterion
39	Kazuki Shibanuma* Fuminori Yanagimoto Tetsuya Namegawa Katsuyuki Suzuki Shuji Aihara	Brittle crack propagation/arrest behavior in steel plate – Part II: Experiments and model validation	Engineering Fracture Mechanics	162 (2016), 341-360.	Validation Brittle fracture Crack arrest Fracture criterion
38	Kazuki Shibanuma* Fuminori Yanagimoto Tetsuya Namegawa Katsuyuki Suzuki Shuji Aihara	Brittle crack propagation/arrest behavior in steel plate – Part I: Model formulation	Engineering Fracture Mechanics	162 (2016), 324-340.	Validation Brittle fracture Crack arrest Fracture criterion
37	Hiroaki Nakai Kazuki Shibanuma* Shuji Aihara	Numerical model for unstable ductile crack propagation and arrest in pipelines using finite difference method	Engineering Fracture Mechanics	162 (2016), 179-192.	Multiphysics Validation Ductile fracture Crack arrest Fracture criterion
36	Yuki Yamamoto Kazuki Shibanuma* Fuminori Yanagimoto Katsuyuki Suzuki Shuji Aihara Hiroyuki Shirahata	Multiscale model synthesis to clarify the relationship between microstructures of steel and macroscopic brittle crack arrest behavior – Part II: Application to crack arrest test (in Japanese)	Tetsu-to-Hagane	102 (2016), 356-364.	Multiscale Validation Brittle fracture Crack arrest
35	Kazuki Shibanuma* Yuki Yamamoto Fuminori Yanagimoto Katsuyuki Suzuki Shuji Aihara Hiroyuki Shirahata	Multiscale model synthesis to clarify the relationship between microstructures of steel and macroscopic brittle crack arrest behavior – Part I: Model presentation (in Japanese)	Tetsu-to-Hagane	102 (2016), 347-355.	Multiscale Validation Brittle fracture Crack arrest
34	Kazuki Shibanuma* Yoshiki Nemoto Takashi Hiraide Katsuyuki Suzuki Shuji Aihara	Investigation of micro-crack initiation as a trigger of cleavage fracture in ferrite-pearlite steels (in Japanese)	Tetsu-to-Hagane	102 (2016), 330-339.	Brittle fracture Fracture criterion
33	Itsuki Kawata* Takashi Hiraide Kazuki Shibanuma Tomoya Kawabata Shuji Aihara	Fracture toughness prediction model for low-carbon bainite steels containing inter-lath martensite (in Japanese)	Tetsu-to-Hagane	102 (2016), 320-329.	Multiscale Validation Brittle fracture Fracture criterion
32	Yuki Yamamoto Kazuki Shibanuma* Fuminori Yanagimoto Katsuyuki Suzuki Shuji Aihara Hiroyuki Shirahata	Multiscale model synthesis to clarify the relationship between microstructures of steel and macroscopic brittle crack arrest behavior – Part II: Application to crack arrest test	ISIJ International	56 (2016), 350-358.	Multiscale Validation Brittle fracture Crack arrest
31	Kazuki Shibanuma* Yuki Yamamoto Fuminori Yanagimoto Katsuyuki Suzuki Shuji Aihara Hiroyuki Shirahata	Multiscale model synthesis to clarify the relationship between microstructures of steel and macroscopic brittle crack arrest behavior – Part I: Model presentation	ISIJ International	56 (2016), 341-349.	Multiscale Validation Brittle fracture Crack arrest
30	Kazuki Shibanuma* Shuji Aihara Katsuyuki Suzuki	Prediction model on cleavage fracture initiation in steels having ferrite-cementite microstructures – Part II: Model validation and discussions	Engineering Fracture Mechanics	151 (2016), 181-202.	Multiscale Validation Brittle fracture Fracture criterion
29	Kazuki Shibanuma* Shuji Aihara Katsuyuki Suzuki	Prediction model on cleavage fracture initiation in steels having ferrite-cementite microstructures – Part I: Model presentation	Engineering Fracture Mechanics	151 (2016), 161-180.	Multiscale Validation Brittle fracture Fracture criterion
28	Shuji Aihara* Kazuki Shibanuma Tetsuya Namegawa	Numerical simulation of brittle crack propagation and arrest in steels considering shear-lip formation	International Journal of Offshore and Polar Engineering	25 (2015), 263-271.	Validation Brittle fracture Crack arrest Fracture criterion
27	Shuhei Yoshizu Hiroaki Nakai Kazuki Shibanuma* Shuji Aihara	A stochastic method to estimate fracture toughness scatter of inhomogeneous materials based on the weakest-link assumption (in Japanese)	Quarterly journal of the Japan Welding Society	33 (2015), 180-186.	Validation Brittle fracture Fracture criterion
26	Takashi Hiraide* Kazuki Shibanuma Shuji Aihara	Development of numerical model to predict cleavage fracture toughness of ferrite-pearlite steels (in Japanese)	Tetsu-to-Hagane	101 (2015), 384-393.	Multiscale Validation Brittle fracture Fracture criterion
25	Yanagimoto Fuminori* Shibanuma Kazuki Suzuki Katsuyuki	Fundamental study on the simulation of fast crack propagation by finite element method (in Japanese)	Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))	71 (2015), I_29-I_38.	Verification Brittle fracture Crack arrest
24	Weiqin Liu* Katsuyuki Suzuki Kazuki Shibanuma	A two-dimensional hydroelastoplasticity method of a containership in extreme waves	Journal of Offshore Mechanics and Arctic Engineering	137 (2014), 021101.	Multiphysics
23	Weiqin Liu* Katsuyuki Suzuki Kazuki Shibanuma	Nonlinear dynamic response and structural evaluation of containership in large freak waves	Journal of Offshore Mechanics and Arctic Engineering	137 (2015), 011601.	Multiphysics
22	Itsuki Kawata* Kazuki Shibanuma Shuji Aihara	Evaluation on the brittle crack branching in a steel with focusing on a material texture (in Japanese)	Journal of the Japan Society of Naval Architects and Ocean Engineers	19 (2014), 139-148.	Validation Brittle fracture
21	Kazuki Shibanuma* Shuji Aihara Shigeru Ohtsuka	Observation and quantification of crack nucleation in ferrite-cementite steel	ISIJ International	54 (2014), 1719-1728.	Brittle fracture Fracture criterion
20	Kazuki Shibanuma* Tomoaki Utsunomiya Shuji Aihara	An explicit application of partition of unity approach to XFEM approximation for precise reproduction of a priori knowledge of solution	International Journal for Numerical Methods in Engineering	97 (2014), 551-581.	Beyond FEM Verification
19	Kazuki Shibanuma* Shuji Aihara Shigeru Ohtsuka	Observation and quantification of crack nucleation in ferrite-cementite steel (in Japanese)	Tetsu-to-Hagane	99 (2013), 582-591.	Brittle fracture Fracture criterion
18	Kazuki Shibanuma* Shuji Aihara Motoyuki Matsubara Hiroyuki Shirahata Tsunehisa Handa	Numerical simulation of fracture toughness testing by prediction model of cleavage fracture toughness (in Japanese)	Tetsu-to-Hagane	99 (2013), 50-59.	Multiscale Validation Brittle fracture Fracture criterion
17	Kazuki Shibanuma* Shuji Aihara Momoyuki Matsubara Hiroyuki Shirahata Tsunehisa Handa	Development of numerical model to predict cleavage fracture toughness of ferrite steel (in Japanese)	Tetsu-to-Hagane	99 (2013), 40-49.	Multiscale Validation Brittle fracture Fracture criterion
16	Shuji Aihara Kazuki Shibanuma* Yoshiyuki Watabe	Development of numerical model for brittle crack propagation/arrest behaviors (in Japanese)	Journal of the Japan Society of Naval Architects and Ocean Engineers	16 (2012), 109-120.	Validation Brittle fracture Crack arrest Fracture criterion
15	Kazuki Shibanuma* Shuji Aihara	Numerical simulation of cleavage fracture formation in grain of ferrite steel (in Japanese)	Tetsu-to-Hagane	98 (2012), 190-196.	Validation Brittle fracture Fracture criterion
14	Kazuki Shibanuma* Shuji Aihara	Dependence of cleavage facet size in ferrite steel on temperature (in Japanese)	Tetsu-to-Hagane	98 (2012), 184-189.	Brittle fracture Fracture criterion
13	Kazuki Shibanuma* Tomoaki Utsunomiya ShujiAihara	Correction of incompleteness of XFEM approximation (2nd report: Application to fracture mechanics) (in Japanese)	Transactions of the Japan Society for Computational Engineering and Science	2011 (2011), 20110007.	Beyond FEM Verification
12	Kazuki Shibanuma* Tomoaki Utsunomiya ShujiAihara	Correction of incompleteness of XFEM approximation (1st report: General formulation and theoretical error analyses) (in Japanese)	Transactions of the Japan Society for Computational Engineering and Science	2011 (2011), 20110004.	Beyond FEM Verification
11	Kazuki Shibanuma* Tomoaki Utsunomiya	Evaluation on reproduction of priori knowledge in XFEM	Finite Elements in Analysis and Design	47 (2011), 424-433.	Beyond FEM Verification
10	Kazuki Shibanuma* Hiroki Aoi Tomoaki Utsunomiya Masahiro Sakano Yoshihiro Natsuaki	Implementation of XFEM into a general-purpose FEM code and simulation of fatigue crack propagation in actual structure (in Japanese)	Journal of Applied Mechanics JSCE	13 (2010), 945-956.	Beyond FEM Validation Fatigue
9	Kazuki Shibanuma* Hiroki Aoi Tomoaki Utsunomiya Masahiro Sakano Yoshihiro Natsuaki	Evaluation on behavior of fatigue crack through thickness in 3D structures by XFEM analysis (in Japanese)	Journal of Constructional Steel JSSC	17 (2009), 267-274.	Beyond FEM Validation Fatigue
8	Kazuki Shibanuma* Tomoaki Utsunomiya	A study on reproducibility of priori knowledge in crack analysis by the XFEM (in Japanese)	Doboku Gakkai Ronbunshuu A	65 (2009), 955-960.	Beyond FEM Verification
7	Kazuki Shibanuma* Tomoaki Utsunomiya	Reformulation of XFEM based on PUFEM for solving problem caused by blending elements	Finite Elements in Analysis and Design	45 (2009), 806-816.	Beyond FEM Verification
6	Kazuki Shibanuma* Tomoaki Utsunomiya	Formulation of XFEM based on PUFEM for avoiding problem caused by blending elements (in Japanese)	Doboku Gakkai Ronbunshuu A	65 (2009), 228-242.	Beyond FEM Verification
5	Kazki Shibanuma* Tomoaki Utsunomiya	Evaluation of blending elements in XFEM on crack analysis and proposal for improvement of analytical accuracy (in Japanese)	Doboku Gakkai Ronbunshuu A	64 (2009), 970-981.	Beyond FEM Verification
4	Kazuki Shibanuma* Tomoaki Utsunomiya	Proposal on approximation of path independent M-integral by mapping and analyses of kinked or curved crack using X-FEM (in Japanse)	Doboku Gakkai Ronbunshuu A	64 (2008), 303-316.	Beyond FEM Verification
3	Takahiro Kanehisa* Kazuki Shibanuma Tomoaki Utsunomiya	A simulation analysis of fatigue crack growth by X-FEM (in Japanese)	Journal of Applied Mechanics JSCE	10 (2007), 947-954.	Beyond FEM Validation Fatigue
2	Kazuki Shibanuma* Tomoaki Utsunomiya	Curved-crack modeling by X-FEM and its application for simulation of crack growth (in Japanese)	Doboku Gakkai Ronbunshuu A	63 (2007), 108-121.	Beyond FEM Verification
1	Kazuki Shibanuma* Tomoaki Utsunomiya	Two-dimensional analysis of cracks by X-FEM and evaluation of the accuracy (in Japanese)	Journal of Applied Mechanics JSCE	9 (2006), 211-220.	Beyond FEM Verification