平端回弹压痕试验评价关节软骨存活性：粘弹性层模型的应用
Flat-ended rebound indentation test for assessing viability of articular cartilage: Application of the viscoelastic layer model
摘要：
本文研究了无摩擦圆柱平头压头的回弹压痕试验，包括位移控制阶段和载荷控制阶段。在泊松比与时间无关的粘弹性模型的框架下，模拟了关节软骨层样品的力学行为。封闭形式的解析表达式的接触力（在位移控制阶段）和压痕位移（在负载控制阶段）的任意粘弹性固体模型。详细考虑了标准粘弹性固体模型的情况。它已被建立的回弹位移（即在负载控制阶段的压痕位移）不依赖于松弛的弹性模量和泊松比，以及对层的厚度。
英文摘要：
The rebound indentation test consisting of the displacement-controlled and load-controlled stages is considered for a frictionless cylindrical flat-ended indenter. The mechanical behavior of an articular cartilage layer sample is modeled in the framework of viscoelastic model with time-independent Poisson's ratio. Closed-form analytical expressions for the contact force (in the displacement controlled stage) and for the indentation displacement (in the load-controlled stage) are presented for an arbitrary viscoelastic solid model. The case of standard viscoelastic solid model is considered in detail. It has been established that the rebound displacement (that is the indentation displacement in the load-controlled stage) does not depend on the relaxed elastic modulus and Poisson's ratio as well as on the layer's thickness.
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