A comparison of direct and iterative methods for determining traction-separation relations

• Published in: International journal of fracture Vol. 177; no. 2; pp. 109 - 128
• Main Authors: Gowrishankar, Shravan, Mei, Haixia, Liechti, Kenneth M., Huang, Rui
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2012; Springer; Springer Nature B.V
• Subjects: Automotive Engineering; Cantilever beams; Characterization and Evaluation of Materials; Chemistry and Materials Science; Civil Engineering; Classical Mechanics; Computer simulation; Contact; Crack opening displacement; Exact sciences and technology; Exact solutions; Extraction; Fracture mechanics; Fracture mechanics (crack, fatigue, damage...); Fracture toughness; Fundamental areas of phenomenology (including applications); Iterative methods; J integral; Materials Science; Mathematical analysis; Mathematical models; Measurement methods; Mechanical Engineering; Methods; Original Paper; Parameters; Physics; Separation; Solid mechanics; Structural and continuum mechanics; Traction; Traction-separation relations; Infrared crack opening interferometry; Silicon/epoxy interface; Interface fracture; Optical interferometry; J integral; Solid solid interface; Rupture; Infrared detection; Epoxy resin; Iterative method; Adhesion; Modeling; Parameter extraction; Fracture toughness; Direct method; Crack opening displacement; Crack length; Interface crack; Silicon; Double cantilever beam
• ISSN: 0376-9429; 1573-2673
• DOI: 10.1007/s10704-012-9758-3

Traction-separation relations have been used to represent the adhesive interactions at bimaterial interfaces for contact and fracture analyses. There are a variety of methods for determining these relations, which are broadly sorted into iterative and direct methods. Here we compare the traction-separation relations for a silicon/epoxy interface extracted by two such methods. Interferometric measurements of the normal crack opening displacements near the crack front in a double-cantilever beam specimen were exploited along with an augmented analytical solution for J-integral as an illustration of the direct method. As an example of the iterative method, we relied on comparisons of measured crack length and normal crack opening displacements with numerical simulations obtained from two types of candidate traction-separation relations. It was found that the shape of the traction-separation relation, in addition to the interfacial toughness and strength, was needed to bring the numerical solutions into optimal registration with the measurements. On the other hand, the direct method lived up to its name in terms of ease of parameter extraction while providing a reasonable set of parameters.