应变梯度理论的新进展(一)——偶应力理论和SG理论

RECENT ADVANCES IN STRAIN GRADIENT PLASTICITY Ⅰ Couple stress theory and SG theory

介绍两种应变梯度塑性本构模型：ＣＳ应变梯度塑性理论——偶应力理论、ＳＧ应变梯度塑性理论。并对它们在断裂力学中的应用进行了评述。给出一种考虑可压缩性的方法，并根据这种模型用薄梁弯曲的例子给出了可压缩性的影响。本文的讨论虽限制在形变理论范围内，但按照相应的方法也可以得到流动理论的形式。

In the paper two kinds of framework of strain gradient plasticity recently developed and their applications are reviewed: strain gradient plasticity for CS solid the couple stress theory, strain gradient plasticity for SG solid. The applications are mainly focussed on the fracture problems. One way of accounting for material compressibility is suggested. The review is confined to the deformation theory version, though the flow theory version can be parallelly constructed.