This paper provides a corrected formulation to the mixed integer programming model proposed by Aydogan et al. (2012) [1]. They proposed a genetic algorithm to learn fuzzy rules for a fuzzy rule-based classification system and developed a Mixed Integer Programming model (MIP) to prune the generated rules by selecting the best set of rules to maximize predictive accuracy. However, their proposed ...

This paper presents a finite element formulation suitable for large-strain modeling of biological tissues and uses this formulation to implement an accurate finite element model for mitral valve leaflet tissue. First, an experimentally derived strain energy function is obtained from literature. This function is implemented in finite elements using the mixed pressure-displacement formulation. A ...

Cracking of rocks and rock-like materials exhibits a rich variety patterns where tensile (mode I) shear II) fractures are often interwoven. These mixed-mode usually cohesive (quasi-brittle) frictional. Although phase-field modeling is increasingly used for rock fracture simulation, no formulation available frictional fracture. To address this shortfall, here we develop double-phase-field that e...

A surface integral formulation based on direct boundary integral equation (BIE) was recently proposed for inductance or impedance calculation of 3D electric structures. Though faster than other volume integral methods, this formulation still suffers from as many as 7N unknowns, where N is the number of panels. A mixed surface integral formulation is proposed in this paper, which combines indire...