Hi everybody,
I am a very beginnerin doing research :-) and my topic is about "micro indentation analysis using continuum dislocation theory". I am applying high-order finite element method for this nonlinear problem.
My plan is first writing a subroutine for the element. However, when I intend to compute the internal force by using Gauss integration, I see a problem with the integrand function of some index of the internal force vector. This integrand is discontinuous function. It is therefore, I cannot get a good approximation with the standard Gauss integration.
Does anybody have idea on how to deal with this problem? I attached two images: one of the integrand function before and one of the integrand function after using the standard Gauss integration in order to clarify my question. Thank you very much.
Best Regards,
Minh
Microindentation hardness mapping has been widely used to assess the variation of mechanical properties across a large surface area. However, with the study of applications such as glass it is the crack initiation that is of particular interest. It is for this reason that acoustic emission can be used during the mapping of indents to not only map hardness but also map the crack initiation values over the surface area. Using acoustic emission proves to be a critical tool during the study of applications where micro fracture is of primary concern.
Application Note: http://www.nanovea.com/Application%20Notes/microindentationmapping.pdf
The use of Microindentation has proven to be a crucial tool for rock mechanics related studies. For example, Microindentation has been used to advance studies in excavation by allowing further understanding of rock mass properties and its separation. Microindentation has been used to advance drilling studies to improve drill heads and improve drilling procedures. Microindentation has also been used to study chalk and powder formation from minerals. With the use of Microindentation studies can include Hardness, Young’s Modulus, Creep, Stress-Strain, Fracture Toughness, Compression and others with a single instrument.
Application Note: http://www.nanovea.com/Application%20Notes/microindentationofrock.pdf