Abstract This paper presents a formulation for frictionless beam-to-beam contact using the mortar method. The beams are modelled geometrically exact theory. A similar approach has been proposed very recently, with respect to which we offer based on Lagrange-multiplier method and simpler algorithm cover static interaction within zone analyse performance of different orders interpolation Lagrange...

An anisotropic damage model is employed in order to simulate the fracture pattern of Bohus granite under quasi-static (Q-S) spherical indentation loading. The chosen description added previously Drucker–Prager (DP) plasticity with variable dilation angle. resulting constitutive implemented behavior up load capacity material. initial fragmentation, corresponding first small load-drop force–penet...

Large deformations of helical springs are affected by coil contact, but most available spring modelling techniques only account for nonlinear vertical motion, and Finite Elements (FE) analysis that considers contact between coils can be very expensive. A 2D model based on equivalent beam penalty-based algorithm is developed efficient yet realistic prediction non-uniform deflection. The proposed...

Course: M2-6: Abstract interpretation: application to verication and static analysis Note: Other internships are possible on the topic of static analysis, abstract interpretation , and applications to Systems Biology. Please contact the internship supervisor for more information.

Contact patterns in populations fundamentally influence the spread of infectious diseases. Current mathematical methods for epidemiological forecasting on networks largely assume that contacts between individuals are fixed, at least for the duration of an outbreak. In reality, contact patterns may be quite fluid, with individuals frequently making and breaking social or sexual relationships. He...

Simulating frictional contact between objects with complex geometry is important for 6-DoF haptic rendering applications. For example, friction determines whether components can be navigated past narrow clearances in virtual assembly. State-of-the-art haptic rendering of frictional contact either augments penalty contact with frictional penalty springs, which do not prevent sliding and cannot r...