[PDF] Top 20 Force based atomistic/continuum blending for multilattices

... so-called atomistic-to-continuum (AtC) coupling algorithms which sought to bridge the gap between length scales from the nano to ...blended force-based quasicontinuum method (BQCF), blended ... See full document

... The blending variant that we will consider is the blended quasi-continuum (BQCE) scheme, formulated in [26, 14] and analyzed in [26, ...to multilattices in the natural way, then the reduced ... See full document

... We have extended the model formulation and analysis (decay of discrete elastic fields) for point defects embedded in a homogeneous crystalline solid from the Bravais lattice case [7] to multilattices. While, at a ... See full document

... on force-based hybrid methods ...general atomistic model and a general class of abstract a/c methods, and establishing the necessary analytical framework, it will be shown in Theorem ... See full document

... that force-based blending (the B-QCF scheme) with a macroscopic blending width yields a “universally stable” a/c coupling in the terminology of ...required blending width makes the ... See full document

... a force-based a/c method with an overlap region is analyzed, in particular providing sharp stability ...narrow blending width is sufficient to ensure stability of the method, however, a complete ... See full document

... an atomistic energy based on a pair interaction model, and can be extended to 3D if a modified “continuum model” is used ...ghost force free methods are currently known for three-dimensional ... See full document

... partially based on the results of the present ...required blending width for force-based a/c coupling [11, 12] remains incomplete and partially based on numerical ...interface ... See full document

... the blending width, (ii) whether a relatively narrow blending, as suggested by the theory, is enough in practice, and (iii) whether using the quintic spline (that has the regularity assumed in the theory) ... See full document

... driving force comes from electro-osmotic, piezoelectric, or magnetic effects ...the continuum model cannot be concentrated in a simple constant as g in ... See full document

... in atomistic and continuum models lead to difficulties in defining coupling mechanisms that do not introduce additional ...for atomistic models based on quantum mechanics were proposed in [8, 6], ... See full document

... In the present work we are concerned with the construction and rigorous analysis of energy-based a/c methods in a 2D model problem. Our starting point is the geometry reconstruction approach proposed by Shimokawa ... See full document

... the atomistic to continuum interface in an attempt to develop an energy-based QC method that does not suffer from the ghost force problem mentioned above [14, ... See full document

... driving force comes from electro-osmotic, piezoelectric, or magnetic effects ...the continuum model cannot be concentrated in a simple constant as g in ... See full document

... new force- based coupling mechanism that does not suffer from the deficiencies of the QCF method mentioned ...in continuum mechanics than the ...the atomistic force in its weak form in ... See full document

... Introduction. Atomistic-to-continuum (a/c) coupling methods have been proposed to increase the computational efficiency of atomistic computations involving the interaction between local crystal defects ... See full document

... We will supply the G23 scheme with finite element methods of different orders and investigate the rates of convergence for the resulting schemes. Our conclusion will be that second-order finite element schemes are ... See full document

... transmit force on discontinuous surface to the SPH method, which is a numerical analysis method based on continuum dynamics, for large deformation occurring on the ground surface due to fault ... See full document

... optimize blending; roller compaction and tablets compression processes using design space approach for a model Anti- Hyperlipidemic drug ...includes Blending time, Roller force, Compression ... See full document

... Abstract—This paper employs the gradient theory to study the elastic properties and deformability of red blood cell (RBC) membrane using the first-order Cauchy-Born rule as an atomistic-continuum ... See full document