For Libraries For Publication Open Access Downloads About Us Contact Us
Paper Titles
A Partitioned Formulation for FEM/BEM Coupling in Contact Problems Using Localized Lagrange Multipliers
p.23
On Steady Wear States for Monotonic Relative Sliding of Contacting Bodies
p.49
Anisotropic Contact and Wear Simulation Using Boundary Elements
p.73
Life Assessment in Fretting Fatigue
p.99
Transient Dynamic Analysis of Cracked Multifield Solids with Consideration of Crack-Face Contact and Semi-Permeable Electric/Magnetic Boundary Conditions
p.123
BEM and Tangent Operator Technique Applied to Analysis of Contact Problems
p.151
Effect of Friction on the Size of the Near-Tip Contact Zone in a Penny-Shaped Interface Crack
p.179
Closed-Form Solution of the Frictional Sliding Contact Problem for an Orthotropic Elastic Half-Plane Indented by a Wedge-Shaped Punch
p.203
Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate
p.227

Transient Dynamic Analysis of Cracked Multifield Solids with Consideration of Crack-Face Contact and Semi-Permeable Electric/Magnetic Boundary Conditions

Article Preview

Abstract:

Boundary element method (BEM) formulations for transient dynamic crack analysis intwo-dimensional (2D) multifield materials are reviwed in this paper. Both homogeneous and lin-ear piezoelectric as well as magnetoelectroelastic material models are considered. Special attentionis paid to properly modeling the non-linear crack-face contact and semi-permeable electric/magneticboundary conditions. Implementation of the corresponding time-domain BEM(TDBEM) is discussedin detail. The proposed TDBEM uses a Galerkin-method for the spatial discretization, whilst thecollocation method is considered for the temporal discretization. Iterative solution algorithms aredeveloped to compute the non-linear crack-face boundary conditions. Crack-tip elements that ac-count for the square-root local behavior of the crack opening displacements (CODs) at the crack-tipsare implemented. In this way, stress intensity factors (SIF), electric displacement intensity factor(EDIF) and magnetic induction intensity factor (MIIF) may be accurately evaluated from the nu-merically computed CODs at the closest nodes to the crack-tips. Numerical examples involving sta-tionary cracks in piezoelectric and magnetoelectroelastic solids under different combined (mechani-cal/electric/magnetic) impact loadings are investigated, in order to illustrate the effectiveness of theproposed approach and characterize the influence of the semi-permeable crack-face boundary condi-tions on the dynamic field intensity factors.

You might also be interested in these eBooks
Wear and Contact Mechanics View Preview

Info:

Periodical:

Key Engineering Materials (Volume 618)

Pages:

123-150

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.618.123

Citation:

Cite this paper

Online since:

July 2014

Authors:

Michael Wünsche*, Andrés Sáez, Felipe García-Sánchez, Chuan Zeng Zhang, Jose Domínguez

Keywords:

Crack-Face Contact, Dynamic Crack Analysis, Magnetoelectroelastic Solids, Multifield Materials, Piezoelectric Solid, Semi-Permeable Electrical and Magnetic Crack-Face Conditions, Semi-Permeable Electrical Conditions, Time-Domain BEM

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

References

[1] P. Curie, J. Curie: C. R. Acad. Sci. Vol. 91 (1880), pp.294-295

Google Scholar

[2] G. Lippmann: Ann. Chim. Phys. Vol. 24 (1881), pp.145-178

Google Scholar

[3] W.G. Cady: Piezoelectricity (McGraw-Hill, New York 1946)

Google Scholar

[4] T. Ikeda: Fundamentals of Piezoelectricity (Oxford University Press, New York 1996)

Google Scholar

[5] J.V. Suchtelen: Phillips Res. Rep. Vol. 27 (1972), pp.28-37

Google Scholar

[6] C.W. Nan: Physical Review B Vol. 50 (1994), pp.6082-6088

Google Scholar

[7] W. Eerenstein, N.D. Mathur, J.F. Scott: Nature Vol. 442 (2006), pp.759-765

Google Scholar

[8] C.W. Nan, M.I. Bichurn, S. Dong, D. Viehland, G. Srinivasan: J. Appl. Phy. Vol. 103 (2008), p.031101

Google Scholar

[9] H.-T. Chung, B.-C. Shin, H.-G. Kim: Journal of the American Ceramic Society Vol. 72 (1989), pp.327-329

Google Scholar

[10] Z.Suo, C.-M. Kuo, D.M. Barnett, J.R. Willis: Journal of the Mechanics and Physics of Solids Vol. 40 (1992), pp.739-765

Google Scholar

[11] M. Kuna: Eng. Fract. Mech. Vol. 77 (2010), pp.309-326[12] Y.E. Pak: Int. J. Fracture Vol. 54 (1992), pp.79-100

Google Scholar

[13] C. Dascalu, G.A. Maugin: Q. J. Mech. Appl. Math., Vol. 48 (1995), pp.237-255

Google Scholar

[14] Y. Shindo, F. Narita, E. Ozawa: Acta Mech. Vol. 137 (1999), pp.99-107

Google Scholar

[15] C.F. Gao, H. Kessler, H. Balke: Int. J. Engrg. Sci. Vol. 41 (2003), pp.969-981

Google Scholar

[16] C.F. Gao, H. Kessler, H. Balke: Int. J. Engrg. Sci. Vol. 41 (2003), pp.983-994

Google Scholar

[17] X.-F. Li: Int. J. Solids Struct. Vol. 42 (2005), pp.3185-3205

Google Scholar

[18] X.-C. Zhong, X.-F. Li, K.-Y. Lee: Comput. Mater. Sci. Vol. 45 (2009), pp.905-911

Google Scholar

[19] M. Enderlein, A. Ricoeur, M. Kuna: Int. J. of Fracture Vol. 134 (2005), pp.191-208

Google Scholar

[20] M. Kuna: Arch. Appl. Mech. Vol. 76 (2006), pp.725-745

Google Scholar

[21] B.L. Wang, Y.W. Mai: Comput. Methods Appl. Mech. Eng. Vol. 196 (2007), pp.2044-2054

Google Scholar

[22] E. Béchet, M. Scherzer, M. Kuna: International Journal for Numerical Methods in Engineering Vol. 77 (2009), pp.1535-1565

Google Scholar

[23] R. Rojas-Díaz, N. Sukumar, A. Sáez, F. García-Sánchez: International Journal for Numerical Methods in Engineering Vol. 88 (2011), pp.1238-1259

DOI: 10.1002/nme.3219

Google Scholar

[24] H. Nguyen-Vinha, I. Bakara, M.A. Msekha, J.-H. Songa, J. Muthua, G. Zia, P. Lea, S.P.A. Bordasa, R. Simpsona, S. Natarajana, T. Lahmera, T. Rabczuk: Engineering Fracture Mechanics Vol. 92 (2012), pp.19-31

Google Scholar

[25] T.Q. Bui, Ch. Zhang: Finite Elements in Analysis and Design Vol. 69 (2013), pp.19-36

Google Scholar

[26] J. Sladek, V. Sladek, P. Solek, S.N. Atluri: CMES - Computer Modeling in Engineering and Sciences Vol. 34 (2008), pp.273-300

Google Scholar

[27] J. Sladek, V. Sladek, P. Solek, E. Pan: Computational Mechanics Vol. 42 (2008), pp.697-714

DOI: 10.1007/s00466-008-0269-z

Google Scholar

[28] Y. Li, W. Feng, Z. Xu: Computer Methods in Applied Mechanics and Engineering Vol. 198 (2009), pp.2347-2359

Google Scholar

[29] J. Sladek, P. Stanak, Z.-D. Han, V. Sladek, S.N. Atluri: CMES - Computer Modeling in Engineering and Sciences Vol. 92 (2013), pp.423-475.

Google Scholar

[30] E. Pan: Engineering Analysis with Boundary Elements Vol. 23 (1999), pp.67-76

Google Scholar

[31] G. Davi, A. Milazzo: International Journal of Solids and Structures Vol. 38 (2001), pp.7065-7078

Google Scholar

[32] F. García-Sánchez, A. Sáez, J. Dominguez: Computers and Structures Vol. 83 (2005), pp.804-820

Google Scholar

[33] F. García-Sánchez, R. Rojas-Díaz, A. Sáez, C. Zhang: Theoretical and Applied Fracture Mechanics Vol. 47 (2007), pp.192-204

DOI: 10.1016/j.tafmec.2007.01.008

Google Scholar

[34] R. Rojas-Díaz, F. García-Sánchez, A. Sáez: International Journal of Solids and Structures Vol. 47 (2010), pp.71-80.

Google Scholar

[35] M. Wünsche, F. García-Sánchez, A. Sáez, C. Zhang: Engineering Analysis with Boundary Elements Vol. 34 (2010), pp.377-387[36] R. Rojas-Díaz, F. García-Sánchez, A. Sáez, E. Rodriguez-Mayorga, C. Zhang: Computer Methods in Applied Mechanics and Engineering Vol. 200 (2011), pp.2931-2942

DOI: 10.1016/j.cma.2011.06.004

Google Scholar

[37] M. Wünsche, A. Sáez, F. García-Sánchez, C. Zhang: European Journal of Mechanics, A/Solids Vol. 32 (2012), pp.118-130

Google Scholar

[38] M.H. Aliabadi: Applied Mechanics Reviews Vol. 50 (1997), pp.83-96

Google Scholar

[39] Y.J. Liu, S. Mukherjee, N. Nishimura, M. Schanz, W. Ye, A. Sutradhar, E. Pan, N.A. Dumont, A. Frangi, A. Saez: Applied Mechanics Reviews Vol. 64 (2011), art. no. 031001

DOI: 10.1115/1.4005491

Google Scholar

[40] T.H. Hao, Z.Y. Shen: Engineering Fracture Mechanics Vol. 47 (1994), pp.793-802

Google Scholar

[41] O. Gruebner, M. Kamlah, D. Munz: Engineering Fracture Mechanics Vol. 70 (2003), pp.1399-1413

DOI: 10.1016/s0013-7944(02)00117-0

Google Scholar

[42] B.L. Wang, Y.-W. Mai: International Journal of Engineering Science Vol. 41 (2003), pp.633-652

Google Scholar

[43] C.M. Landis: International Journal of Solids and Structures Vol. 41 (2004), pp.6291-6315

Google Scholar

[44] B.-L. Wang, Y.-W. Mai: Journal of Applied Mechanics, Transactions ASME Vol. 71 (2004), pp.575-578

Google Scholar

[45] B.-L. Wang, Y.-W. Mai: International Journal of Solids and Structures Vol. 44 (2007), pp.387-398

Google Scholar

[46] K. Wippler, A. Ricoeur, M. Kuna: Engineering Fracture Mechanics Vol. 71 (2004), pp.2567-2587

DOI: 10.1016/j.engfracmech.2004.03.003

Google Scholar

[47] M. Denda: Key Engineering Materials Vol. 383 (2008), pp.67-84

Google Scholar

[48] R. Rojas-Díaz, M. Denda, F. García-Sánchez, A. Sáez: European Journal of Mechanics, A/Solids Vol. 31 (2012), pp.152-162.

DOI: 10.1016/j.euromechsol.2011.08.002

Google Scholar

[49] M. Wünsche, C. Zhang, F. García-Sanchez, A. Sáez, J. Sladek, V. Sladek: Computer Methods in Applied Mechanics and Engineering Vol. 200 (2011), pp.2848-2858

DOI: 10.1016/j.cma.2011.05.007

Google Scholar

[50] M. Wünsche, C. Zhang, J. Sladek, V. Sladek, A. Sáez, F. García-Sánchez: Engineering Fracture Mechanics Vol. 97 (2013), pp.297-313

DOI: 10.1016/j.engfracmech.2012.08.006

Google Scholar

[51] D.M. Barnett, J. Lothe: Physica Status Solidi (B) Basic Research Vol. 67 (1975), pp.105-111

Google Scholar

[52] A. Soh, J. Liu: Journal of Intelligent Material Systems and Structures Vol. 16 (2005), pp.597-602

Google Scholar

[53] R. Rojas-Díaz, A. Sáez, F. García-Sánchez, Ch. Zhang International Journal of Solids and Structures Vol. 45 (2008), pp.144-158.

Google Scholar

[54] C.-Y. Wang, Ch. Zhang Engineering Analysis with Boundary Elements Vol. 29 (2005) pp.454-465.

Google Scholar

[55] M. Bonnet Boundary Integral Equation Methods for Solids and Fluids (John Wiley & Sons Ltd, 1999)

Google Scholar

[56] L.J. Gray Advances in Boundary Elements, (Computational Mechanics Publishers: Southampton, UK, 1998; 33-84)

Google Scholar

[57] F. García-Sánchez, Ch. Zhang, A. Sáez Computer Methods in Applied Mechanics and Engineering Vol. 197 (2008), pp.3108-3121.

Google Scholar

© 2025 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied.
Scientific.Net is a registered trademark of Trans Tech Publications Ltd.