Numerical Implementation of Imperfect Interfaces

One approach to characterizing interfacial stiffness is to introduce imperfect interfaces that allow displacement discontinuities whose magnitudes depend on interfacial traction and on properties of the interface or interphase region. This work implemented such imperfect interfaces into both finite element analysis and the material point method. The finite element approach defined imperfect interface elements that are compatible with static, linear finite element analysis. The material point method interfaces extended prior contact methods to include interfaces with arbitrary traction-displacement laws. The numerical methods were validated by comparison to new or existing stress transfer models for composites with imperfect interfaces. Some possible experiments for measuring the imperfect interface parameters needed for modeling are discussed.

[1]  Jozsef Bodig,et al.  Mechanics of Wood and Wood Composites , 1982 .

[2]  J. Bowyer,et al.  Forest Products and Wood Science , 2019 .

[3]  J. Nairn,et al.  On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites , 2001 .

[4]  Paul A. Martin,et al.  Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers , 1992 .

[5]  J. Williams.  End corrections for orthotropic DCB specimens , 1989 .

[6]  J. Nairn.  On the calculation of energy release rates for cracked laminates with residual stresses , 2006 .

[7]  John A. Nairn,et al.  Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method , 2006 .

[8]  D. S. Drumheller,et al.  Introduction to elastic wave propagation , 1994 .

[9]  Zvi Hashin,et al.  Thermoelastic properties of fiber composites with imperfect interface , 1990 .

[10]  M. F. Kanninen,et al.  An augmented double cantilever beam model for studying crack propagation and arrest , 1973, International Journal of Fracture.

[11]  James E. Guilkey,et al.  An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material , 2001 .

[12]  J. G. Williams,et al.  Analytical solutions for cohesive zone models , 2002 .

[13]  René de Borst,et al.  Mesh-independent discrete numerical representations of cohesive-zone models , 2006 .

[14]  Gregory A Voth,et al.  Interfacing molecular dynamics and macro-scale simulations for lipid bilayer vesicles. , 2002, Biophysical journal.

[15]  D. Thompson,et al.  Review of Progress in Quantitative Nondestructive Evaluation , 1982 .

[16]  R. B. Thompson,et al.  THE EFFECTS OF CRACK CLOSURE ON ULTRASONIC SCATTERING MEASUREMENTS , 1984 .

[17]  John A. Nairn,et al.  Material Point Method Calculations with Explicit Cracks , 2003 .

[18]  A. Needleman.  A Continuum Model for Void Nucleation by Inclusion Debonding , 1987 .

[19]  Y. M. Haddad,et al.  Elastic Wave Propagation , 2000 .

[20]  D. Sulsky,et al.  A particle method for history-dependent materials , 1993 .

[21]  Jan Drewes Achenbach,et al.  REFLECTION AND TRANSMISSION OF ELASTIC WAVES BY A PERIODIC ARRAY OF CRACKS. , 1985 .

[22]  J. Nairn.  Generalized Shear-Lag Analysis Including Imperfect Interfaces , 2004 .

[23]  J. Brackbill,et al.  The material-point method for granular materials , 2000 .

[24]  Zvi Hashin,et al.  Thermoelastic properties of particulate composites with imperfect interface , 1991 .

[25]  Anthony J. Kinloch,et al.  The analysis of interlaminar fracture in uniaxial fibre-polymer composites , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[26]  Z. Hashin.  Extremum principles for elastic heterogenous media with imperfect interfaces and their application to bounding of effective moduli , 1992 .