Interface models for thin interfacial layers

doi:10.1007/s10483-016-2084-6

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (6): 707-724.doi: https://doi.org/10.1007/s10483-016-2084-6

• Articles • Previous Articles Next Articles

Interface models for thin interfacial layers

Xiaojing CAI, Jinquan XU

School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2015-09-21 Revised:2015-11-24 Online:2016-06-01 Published:2016-06-01
Contact: Jinquan XU E-mail:jqxu@sjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 10632040)

Abstract

Abstract:

There have already been several interface models for the analyses of thin interfacial layers in bonded materials. To distinguish their corresponding advantages or limitations, a comparative study is carried out, and a new constitutive-based interface model is proposed. Through numerical examinations, the limitations of typical models are clarified. It is found that the new interface model is an efficient and accurate model, by which both the traction and the displacement jumps across the modelled interface with the thickness of zero are allowed, and the stresses within the interfacial layer can also be analyzed.

Key words: interface model, interfacial layer, bonding

2010 MSC Number:

74A50

Xiaojing CAI, Jinquan XU. Interface models for thin interfacial layers. Applied Mathematics and Mechanics (English Edition), 2016, 37(6): 707-724.

TrendMD

References

[1] Rizzoni, R., Dumont, S., Lebon, F., and Sacco, E. Higher order model for soft and hard elastic interfaces. International Journal of Solids and Structures, 51, 4137-4148 (2014)
[2] Lebon, F. and Rizzoni, R. Asymptotic analysis of a thin interface: the case involving similar rigidity. International Journal of Engineering Science, 48, 473-486 (2010)
[3] Lebon, F., Khaoua, A. O., and Licht, C. Numerical study of soft adhesively bonded joints in finite elasticity. Computational Mechanics, 21, 134-140 (1998)
[4] Dundurs, J. Micromechanics and Inhomogeneity, Springer-Verlag, Berlin, 109-114 (1990)
[5] Xu, J. Q. The Mechanics of Interface (in Chinese), Science Publication, Beijing (2006)
[6] Benveniste, Y. A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Journal of the Mechanics and Physics of Solids, 54, 708-734 (2006)
[7] Corigliano, A. Formulation, identification and use of interface models in the numerical analysis of composite delamination. International Journal of Solids and Structures, 30, 2779-2811 (1993)
[8] Benveniste, Y. and Miloh, T. Imperfect soft and stiff interfaces in two-dimensional elasticity. Mechanics of Materials, 33, 309-323 (2001)
[9] Elices, M., Guinea, G. V., Gomez, J., and Planas, J. The cohesive zone model: advantages, limitations and challenges. Engineering Fracture Mechanics, 69, 137-163 (2002)
[10] Valoroso, N., Sessa, S., Lepore, M., and Cricri, G. Identification of mode-I cohesive parameters for bonded interfaces based on DCB test. Engineering Fracture Mechanics, 104, 56-79 (2013)
[11] Özdemir, I., Brekelmans, W. A. M., and Geers, M. G. D. A thermo-mechanical cohesive zone model. Computational Mechanics, 46, 735-745 (2010)
[12] Rabinovitch, O. An extended high-order cohesive interface approach to the debonding analysis of FRP strengthened beams. International Journal of Mechanical Sciences, 81, 1-16 (2014)
[13] Cai, X. J. and Xu, J. Q. Interfacial fracture criteria based on the nominal deformation energy of interface. Theoretical and Applied Fracture Mechanics, 75, 16-21 (2014)
[14] Yuuki, R. and Kisu, H. Elastic Analysis Based on Boundary Element Analysis, Baifukan, Tokyo (1987)
[15] Bogy, D. B. Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. Journal of Applied Mechanics, 35, 460-466 (1968)
[16] Yuuki, R. and Xu, J. Q. Boundary element analysis of dissimilar materials and interface crack. Computational Mechanics, 14, 116-127 (1994)
[17] Xu, J. Q., Fu, L. D., and Mutoh, Y. A method for determining elastic-plastic stress singularity at the interface edge of bonded power law hardening materials. JSME International Journal Series A, 45, 177-183 (2002)

Interface models for thin interfacial layers

RichHTML

PDF

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 7

Recommended Articles

Metrics

Comments

[1]	Bo RUI, Bo LU, Yicheng SONG, Junqian ZHANG. A pre-strain strategy of current collectors for suppressing electrode debonding in lithium-ion batteries [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 547-560.
[2]	Li LI, Qian CHEN, Baolin TIAN. Transport diffuse interface model for simulation of solid-fluid interaction [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(3): 321-330.
[3]	Rajneesh KUMAR;Meenakshi PANCHAL. Response of loose bonding on reflection and transmission of elastic waves at interface between elastic solid and micropolar porous cubic crystal [J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(5): 605-616.
[4]	LI Ding-He;XU Jian-Xin;QING Guang-Hui. Sensitivity analysis of composite laminated plates with bonding imperfection in Hamilton system [J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(12): 1549-1560.
[5]	ZHONG Zheng. ANALYSIS OF A PARTIALLY DEBONDED ELLIPTIC INHOMOGENEITY IN PIEZOELECTRIC MATERIALS [J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 445-457.
[6]	Chen Jiankang;Huang Zhuping;Bai Shulin. DYNAMIC STRESS ANALYSIS OF THE INTERFACE IN A PARTICLE-REINFORCED COMPOSITE [J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 753-760.
[7]	Su Xiaofeng;Chen Haoran. A STUDY OF THE ELASTO-PLASTIC AXIALLY TENSILE PROPERTIES OF METAL MATRIX COMPOSITES WITH FIBER-END DEBONDING [J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(8): 723-727.