Evolution of Bond-Order-Wave Phase in One-Dimensional Mott Insulators

In this paper, by using the level spectroscopy method and bosonization theory, we discuss the evolution of the bond-order-wave （BOW） phase in a one-dimensional half-filled extended Hubbard model wlth the on-site Coulomb repulsion U as well as the inter-site Coulomb repulsion V and antiferromagnetic exchange J. After clarifying the generic phase diagrams in three limiting cases with one of the parameters being fixed at zero individually, we find that the BOW phase in the U-V phase diagram is initially enlarged as J increases from zero but is eventually suppressed as J increases further in the strong-coupling regime. A three-dimensional phase diagram is suggested where the BOW phase exists in an extended region separated from the spin-density-wave and charge-density-wave phases.

带有幂次内聚断裂模型的韧性碎裂

固体在受到冲击载荷作用时常常会断裂成多个碎片(碎裂),对冲击碎裂过程的研究对工程防护和国防军事具有重要意义。影响碎片尺寸的关键参数包括加载速率、材料强度和韧性、断裂形态等因素。采用非线性的幂次内聚力模型来描述材料的断裂过程,分析断裂和卸载波传播的耦合过程,给出断口完全断裂时间、卸载波传播距离及碎片平均尺度的解析表达;采用有限元数值模拟不同损伤断裂路径下的韧性碎裂过程,得到断口形貌和破碎产生碎片的平均尺寸。研究结果表明:随着幂次指数k的减小,卸载波的传播距离单调增加,产生碎片的平均尺寸也增加,并且碎片断口变形更大;在诸多可能的非线性损伤演化路径中,存在一种断口位置以最快速卸载方式的损伤断裂模型,该模型对应于幂次指数k=0.5的情况,更接近刻画断口区的断裂发展过程。

缺陷对圆管膨胀断裂影响的实验研究

采用高速分幅摄影技术,通过对比实验,获得了清晰的无缺陷和预制缺陷金属圆管膨胀断裂的演化图像。实验结果表明,缺陷大大加速了圆管的断裂过程;有缺陷圆管的产物开始泄漏的时间比无缺陷圆管提前5.5μs,采用应力/应变集中法很好地解释了这种现象。另外,针对预制缺陷圆管膨胀断裂时出现的裂块较小而数量较多、无缺陷圆管膨胀断裂时裂块相对较大而数量较少的现象,采用Mott波理论进行了合理的解释。