Citation: Masanori Kikuchi. Study on multiple surface crack growth and coalescence behaviors[J]. AIMS Materials Science, 2016, 3(4): 1623-1631. doi: 10.3934/matersci.2016.4.1623
[1] | Tasnim Fatima, Ekeoma Ijioma, Toshiyuki Ogawa, Adrian Muntean . Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers. Networks and Heterogeneous Media, 2014, 9(4): 709-737. doi: 10.3934/nhm.2014.9.709 |
[2] | Markus Gahn, Maria Neuss-Radu, Peter Knabner . Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Networks and Heterogeneous Media, 2018, 13(4): 609-640. doi: 10.3934/nhm.2018028 |
[3] | Tom Freudenberg, Michael Eden . Homogenization and simulation of heat transfer through a thin grain layer. Networks and Heterogeneous Media, 2024, 19(2): 569-596. doi: 10.3934/nhm.2024025 |
[4] | François Murat, Ali Sili . A remark about the periodic homogenization of certain composite fibered media. Networks and Heterogeneous Media, 2020, 15(1): 125-142. doi: 10.3934/nhm.2020006 |
[5] | Vivek Tewary . Combined effects of homogenization and singular perturbations: A bloch wave approach. Networks and Heterogeneous Media, 2021, 16(3): 427-458. doi: 10.3934/nhm.2021012 |
[6] | María Anguiano, Renata Bunoiu . Homogenization of Bingham flow in thin porous media. Networks and Heterogeneous Media, 2020, 15(1): 87-110. doi: 10.3934/nhm.2020004 |
[7] | Iryna Pankratova, Andrey Piatnitski . Homogenization of convection-diffusion equation in infinite cylinder. Networks and Heterogeneous Media, 2011, 6(1): 111-126. doi: 10.3934/nhm.2011.6.111 |
[8] | Grigory Panasenko, Ruxandra Stavre . Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall. Networks and Heterogeneous Media, 2008, 3(3): 651-673. doi: 10.3934/nhm.2008.3.651 |
[9] | Mohamed Belhadj, Eric Cancès, Jean-Frédéric Gerbeau, Andro Mikelić . Homogenization approach to filtration through a fibrous medium. Networks and Heterogeneous Media, 2007, 2(3): 529-550. doi: 10.3934/nhm.2007.2.529 |
[10] | Mustapha El Jarroudi, Youness Filali, Aadil Lahrouz, Mustapha Er-Riani, Adel Settati . Asymptotic analysis of an elastic material reinforced with thin fractal strips. Networks and Heterogeneous Media, 2022, 17(1): 47-72. doi: 10.3934/nhm.2021023 |
[1] | Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Eng 45: 601–620. |
[2] |
Mi Y, Aliabadi MH (1992) Dual boundary element method for three-dimensional fracture mechanics analysis. Eng Anal Bound Elem 10: 161–171. doi: 10.1016/0955-7997(92)90047-B
![]() |
[3] |
Belytschko T, Lu YY (1994) Element-free Galerkin methods. Int J Numer Meth Eng 37: 229–256. doi: 10.1002/nme.1620370205
![]() |
[4] | Yagawa G, Yamada T (1996) Free mesh method: A new meshless finite element method. Comput Mech 18: 383–386. |
[5] | Fish J, Markolefas S (1993) Adaptive s-method for linear elastostatics. Appl Numer Math 14: 135–164. |
[6] |
Okada H, Endoh S, Kikuchi M (2005) On fracture analysis using an element overlay technique. Eng Fract Mech 72: 773–789. doi: 10.1016/j.engfracmech.2004.05.003
![]() |
[7] | Kikuchi M, Wada Y, Takahashi M, et al. (2008) Fatigue Crack Growth Simulation using S-Version FEM. ASME 2008 Pressure Vessels and Piping Conference, Chicago, Illinois, USA. |
[8] | Maitireyimu M, Kikuchi M, Geni M (2009) Comparison of Experimental and Numerically Simulated Fatigue Crack Propagation. J Solid Mech Mater Eng 3: 952–967. |
[9] |
Shintaku Y, Iwamatsu F, Suga K, et al. (2015) Simulation of Stress Corrosion Cracking in In-Core Monitor Housing of Nuclear Power Plant. J Press Vess Tech 137: 041401–041401-13. doi: 10.1115/1.4028735
![]() |
[10] | JSME S Nal-2004 (2004) Codes for Nuclear Power Generation Facilities: Rule of Fitness-for-Service for Nuclear Power Plants, Tokyo, Japan. |
[11] |
Paris P, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng 85: 528–533. doi: 10.1115/1.3656900
![]() |
[12] | Rybicki KF, Kanninen MF (1997) A finite element calculation of stress intensity factors by a modified crack closure integral. Eng Fract Mech 9: 931–938. |
[13] | Kikuchi M, Maigefeireti M, Sano H (2010) Closure Effect of Interaction of Two Surface Cracks under Cyclic Bending. ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference, Bellevue, Washington, USA. |
1. | Renata Bunoiu, Claudia Timofte, Upscaling of a double porosity problem with jumps in thin porous media, 2022, 101, 0003-6811, 3497, 10.1080/00036811.2020.1854232 | |
2. | M. Amar, D. Andreucci, R. Gianni, C. Timofte, Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace–Beltrami operator, 2020, 59, 0944-2669, 10.1007/s00526-020-01749-x | |
3. | Ekeoma Rowland Ijioma, Hirofumi Izuhara, Masayasu Mimura, Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion, 2017, 77, 0036-1399, 614, 10.1137/16M1089915 | |
4. | Ekeoma R. Ijioma, Hirofumi Izuhara, Masayasu Mimura, Toshiyuki Ogawa, Homogenization and fingering instability of a microgravity smoldering combustion problem with radiative heat transfer, 2015, 162, 00102180, 4046, 10.1016/j.combustflame.2015.07.044 | |
5. | M. Amar, D. Andreucci, C. Timofte, Asymptotic analysis for non-local problems in composites with different imperfect contact conditions, 2022, 0003-6811, 1, 10.1080/00036811.2022.2120867 | |
6. | A. Chakib, A. Hadri, A. Nachaoui, M. Nachaoui, Homogenization of parabolic problem with nonlinear transmission condition, 2017, 37, 14681218, 433, 10.1016/j.nonrwa.2017.03.004 | |
7. | Iuliu Sorin Pop, Jeroen Bogers, Kundan Kumar, Analysis and Upscaling of a Reactive Transport Model in Fractured Porous Media with Nonlinear Transmission Condition, 2017, 45, 2305-221X, 77, 10.1007/s10013-016-0198-7 | |
8. | Emilio N. M. Cirillo, Ida de Bonis, Adrian Muntean, Omar Richardson, Upscaling the interplay between diffusion and polynomial drifts through a composite thin strip with periodic microstructure, 2020, 55, 0025-6455, 2159, 10.1007/s11012-020-01253-8 | |
9. | Vishnu Raveendran, Emilio Cirillo, Ida de Bonis, Adrian Muntean, Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer, 2021, 80, 0033-569X, 157, 10.1090/qam/1607 | |
10. | Renata Bunoiu, Karim Karim, Claudia Timofte, T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains, 2021, 2021, 1072-6691, 59, 10.58997/ejde.2021.59 | |
11. | Renata Bunoiu, Claudia Timofte, Upscaling of a diffusion problem with flux jump in high contrast composites, 2024, 103, 0003-6811, 2269, 10.1080/00036811.2023.2291810 | |
12. | Matteo Colangeli, Manh Hong Duong, Adrian Muntean, Model reduction of Brownian oscillators: quantification of errors and long-time behavior, 2023, 56, 1751-8113, 345003, 10.1088/1751-8121/ace948 |