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The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the ...
The main goal of this project is by using MPM which is in continuum formulation to reproduce the wear mechanism in larger scale simulation which is performed in atomistic scale by Professor Jean-François Molinari. Then, having experience and getting inform ...
Nanogap electrodes (NGEs) are a fundamental structure for the exploration of nanoscale phenomena. In this paper, we describe the fabrication and the electro-mechanical characterization of tunable tunneling NGEs on a stretchable PDMS substrate. Bottom-up ca ...
We investigate the growth of a hydraulic fracture assuming a power-law dependence of material toughness with fracture length for plane strain and radial geometries. Such a toughness fracture length dependence models in a simple manner a toughening mechanis ...
Contact of rough surfaces is of prime importance in the study of friction and wear. Numerical simulations are well suited for this non-linear problem, but natural surfaces being fractal [1], they have high discretization requirements. There is therefore a ...
Beetles are by far one of the most successful groups of insects, with large diversity in terms of number of species. A part of this success is attributed to their elytra, which provide various functions such as protection to their bodies from mechanical fo ...
Atomistic/continuum (A/C) coupling schemes have been developed during the past twenty years to overcome the vast computational cost of fully atomistic models, but have not yet reached full maturity to address many problems of practical interest. This work ...
Adaptive isogeometric methods for the solution of partial diifferential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain these spaces is to apply the multi-level construction of hierarchical spline ...
In the seismic design of unreinforced masonry walls, the elastic modulus E and shear modulus G are essential parameters for the calculation of the in-plane wall stiffness. Current codes provide empirical estimates of the elastic modulus and furthermore a r ...