To describe properly interactions between contacting solids at micro/nanometre scales, one needs to know both adhesive and mechanical properties of the solids. Borodich and Galanov have introduced an effective method (the BG method) for identifying both characteristics from a single experiment on depth-sensing indentation by a spherical indenter using optimal fitting of the experimental data. Unlike traditional indentation techniques involving sharp indenters, the Borodich-Galanov methodology intrinsically takes adhesion into account. It is essentially a non-destructive approach. These features extend the scope of the method to important applications beyond the capabilities of conventional indentation. The scope of the original BG method was limited to the classic JKR and DMT theories. Recently, this restriction has been overcome by introducing the extended BG (eBG) method, where a new objective functional based on the concept of orthogonal distance curve fitting has been introduced. In the present work, questions related to theoretical development of the eBG method are discussed. Using the data for elastic bulk samples, it is shown that the eBG method is at least as good as the original BG method. It is shown that the eBG can be applied to adhesive indentation of coated, multilayered, functionally graded media.

中文翻译：

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通过深度感应压痕评估固体的弹性和粘合性能

为了在微米/纳米尺度上正确描述接触固体之间的相互作用，需要了解固体的粘合性和机械性能。Borodich 和 Galanov 引入了一种有效的方法（BG 方法），用于通过使用实验数据的最佳拟合通过球形压头进行深度感测压痕的单个实验来识别这两个特征。与涉及锋利压头的传统压痕技术不同，Borodich-Galanov 方法本质上考虑了粘附性。它本质上是一种非破坏性方法。这些特征将方法的范围扩展到超出传统压痕能力的重要应用。原始 BG 方法的范围仅限于经典的 JKR 和 DMT 理论。最近，通过引入扩展 BG (eBG) 方法克服了这一限制，其中引入了基于正交距离曲线拟合概念的新目标函数。在目前的工作中，讨论了与 eBG 方法的理论发展相关的问题。使用弹性大块样品的数据，表明 eBG 方法至少与原始 BG 方法一样好。结果表明，eBG 可应用于涂层、多层、功能梯度介质的粘合剂压痕。结果表明，eBG 方法至少与原始 BG 方法一样好。结果表明，eBG 可应用于涂层、多层、功能梯度介质的粘合剂压痕。结果表明，eBG 方法至少与原始 BG 方法一样好。结果表明，eBG 可应用于涂层、多层、功能梯度介质的粘合剂压痕。