Prestressed elasticity of amorphous solids
Prestressed elasticity of amorphous solids
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DOI：
10.1103/physrevresearch.4.043181
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发表时间：
2021-10
影响因子：
4.2
通讯作者：
Shang Zhang;E. Stanifer;Vishwas V. Vasisht;Leyou Zhang;E. Del Gado;Xiaoming Mao
中科院分区：
文献类型：
--
作者：
Shang Zhang;E. Stanifer;Vishwas V. Vasisht;Leyou Zhang;E. Del Gado;Xiaoming Mao
非晶固体中的预应力具有其形成的记忆，并在其力学性能中起着深远的作用，从加强或软化弹性模量到振动模式的改变频率，以及在非线性状态下指导屈服和凝固。在这里，我们开发了一套数学工具来研究预应力离散网络的弹性，它区分了结构无序和预应力无序的影响。将这些方法应用于预应力三角形晶格和非晶态固体的计算模型，我们证明了预应力对弹性的重要性，并揭示了预应力引起的一些有趣的效应，包括预应力固体特有的应力响应的强空间异质性，最小偶极子刚度的幂律分布，以及软驱模式分类的新准则。
Prestress in amorphous solids bears the memory of their formation, and plays a profound role in their mechanical properties, from stiffening or softening elastic moduli to shifting frequencies of vibrational modes, as well as directing yielding and solidification in the nonlinear regime. Here we develop a set of mathematical tools to investigate elasticity of prestressed discrete networks, which disentangles the effects from disorder in configuration and disorder in prestress. Applying these methods to prestressed triangular lattices and a computational model of amorphous solids, we demonstrate the importance of prestress on elasticity, and reveal a number of intriguing effects caused by prestress, including strong spatial heterogeneity in stress-response unique to prestressed solids, power-law distribution of minimal dipole stiffness, and a new criterion to classify floppy modes.