Continuum Limits of Discrete Systems without Convexity Hypotheses
Continuum Limits of Discrete Systems without Convexity Hypotheses
复制标题
无凸性假设的离散系统的连续极限
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Gelli
中科院分区：
文献类型：
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作者：
Andrea Braides;M. Gelli
在离散能量密度无结构假设下，我们描述了一维最近邻相互作用系统的变分极限。我们表明，连续极限的特点是由散装和界面的能量密度，这可以明确地计算从离散能量通过操作的限制，缩放和正则化，突出可能的散装振荡和多裂纹。
We describe the variational limit of one-dimensional nearest-neighbour systems of interactions, under no structure hypotheses on the discrete energy densities. We show that the continuum limit is characterized by a bulk and a interfacial energy density, which can be explicitly computed from the discrete energies through operations of limit, scaling and regularization that highlight possible bulk oscillations and multiple cracking.