We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum forces. Our precise choice of blending mechanism is informed by theoretical predictions. We present a range of numerical experiments studying the accuracy of the scheme, focusing in particular on its stability. These experiments confirm and extend the theoretical predictions, and demonstrate a superior accuracy of B-QCF over energy-based blending schemes
金沢大学大学院自然科学研究科機能開発システム金沢大学工学部The quasicontinuum method is a way of reducing the number of degrees of...
A common observation from an atomistic to continuum coupling method is that the error is often gener...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Abstract. We formulate an atomistic-to-continuum coupling method based on blending atomistic and con...
We formulate an energy-based atomistic-to-continuum coupling method based on blending the quasiconti...
We combine the ideas of atomistic/continuum energy blending and ghost force correction to obtain an ...
Force-based multiphysics coupling methods have become popular since they provide a simple and effici...
Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for c...
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid ...
Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are pop...
The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformations where ...
We formulate the blended force-based quasicontinuum method for multilattices and develop rigorous er...
Abstract. The development of consistent and stable quasicontinuum models for multi-dimensional cryst...
Abstract. The development of consistent and stable quasicontinuum models for multidimen-sional cryst...
The force-based quasicontinuum (QCF) approximation is the principle that lies behind the most common...
金沢大学大学院自然科学研究科機能開発システム金沢大学工学部The quasicontinuum method is a way of reducing the number of degrees of...
A common observation from an atomistic to continuum coupling method is that the error is often gener...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Abstract. We formulate an atomistic-to-continuum coupling method based on blending atomistic and con...
We formulate an energy-based atomistic-to-continuum coupling method based on blending the quasiconti...
We combine the ideas of atomistic/continuum energy blending and ghost force correction to obtain an ...
Force-based multiphysics coupling methods have become popular since they provide a simple and effici...
Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for c...
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid ...
Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are pop...
The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformations where ...
We formulate the blended force-based quasicontinuum method for multilattices and develop rigorous er...
Abstract. The development of consistent and stable quasicontinuum models for multi-dimensional cryst...
Abstract. The development of consistent and stable quasicontinuum models for multidimen-sional cryst...
The force-based quasicontinuum (QCF) approximation is the principle that lies behind the most common...
金沢大学大学院自然科学研究科機能開発システム金沢大学工学部The quasicontinuum method is a way of reducing the number of degrees of...
A common observation from an atomistic to continuum coupling method is that the error is often gener...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...