Trans-scale mechanics: looking for the missing links between continuum and micro/nanoscopic reality

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2008,（2）
• 页码范围: 111-126
• 页数: 16页
• 语种: 英文
• DOI: 10.1007/s10409-008-0147-0

摘要

Problems involving coupled multiple space and time scales offer a real challenge for conventional flame-works of either particle or continuum mechanics. In this paper, four cases studies (shear band formation in bulk metallic glasses, spallation resulting from stress wave, inter-action between a probe tip and sample, the simulation of nanoindentation with molecular statistical thermodynamics)are provided to illustrate the three levels of trans-scale pro-blems (problems due to various physical mechanisms at macro-level, problems due to micro-structural evolution at macro/micro-level, problems due to the coupling of atoms/molecules and a finite size body at micro/nano-level) and their formulations. Accordingly, non-equilibrium statistical mechanics, coupled trans-scale equations and simultaneous solutions, and trans-scale algorithms based on atomic/molecular interaction are suggested as the three possible modes of trans-scale mechanics.