By Shanglei Li, Anish Poudel (auth.), Helena Jin, Cesar Sciammarella, Sanichiro Yoshida, Luciano Lamberti (eds.)
Advancement of Optical tools in Experimental Mechanics: Proceedings of the 2013 Annual convention on Experimental and utilized Mechanics, the 3rd quantity of 8 from the convention, brings jointly contributions to this crucial quarter of analysis and engineering. the gathering provides early findings and case reviews on a variety of optical tools starting from conventional photoelasticity and interferometry to more moderen DIC and DVC recommendations, and comprises papers within the following common technical examine parts:
Optical metrology and displacement measurements at diverse scales
Digital holography and experimental mechanics
Optical size structures utilizing polarized mild
Digital snapshot correlation
Optical equipment for MEMS and NEMS
Three-dimensional imaging and volumetric correlation
Imaging tools for thermomechanics applications
3D volumetric circulate dimension
Optical residual tension dimension techniques
Advances in imaging technologies
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Additional info for Advancement of Optical Methods in Experimental Mechanics, Volume 3: Conference Proceedings of the Society for Experimental Mechanics Series
17), the virtual work Eqs. 21) The boundary ST consists of the four surfaces at X1 ¼ 0; X1 ¼ L1 ; X2 ¼ 0; X2 ¼ L2 . On the first two surfaces, ti ¼ 0 and on the last two, tractions are applied only along the 2-direction, while the only non-zero virtual displacement is u1 ∗ ; therefore, the total external virtual work is zero. Thus, the principle of virtual work, with the substitution of Eq. 22) The internal virtual work integral on the left hand side can be evaluated as Z ðQ1 E1 þ V Q2 E2 ÞEÃ1 dV ¼ Z m X k¼1 Vk ðQ1 E1 þ Q2 E2 ÞEÃ1 dV !
Issues such as the effect of including noisy eigenvectors in EVFM, as well as extension of the method to other constitutive laws, both linear and non-linear will be dealt with in the future. Although the application presented in the present work is simple, EVFM allows for more complicated boundary conditions and anisotropic material behaviour, and these directions will be pursued elsewhere. An important issue in VFM is material parameter identifiability , an issue that is intimately tied to noise in the experimental measurements.
Central to VFM is the appropriate choice of virtual fields, which in prior work, have been assumed to be polynomials that are continuously differentiable, either piece-wise or over the entire domain of interest. In this work, we propose a new method for systematically identifying virtual fields by performing a principal component analysis (PCA) of the strain field measured from experiments. The virtual strain components to be used in VFM are then chosen to be the eigenfunctions so determined. In addition to being a physically meaningful set of virtual fields, such a choice exploits the orthogonality of the computed eigenfunctions while simultaneously eliminating computation of a large number of coefficients that define the virtual fields in prior approaches.
Advancement of Optical Methods in Experimental Mechanics, Volume 3: Conference Proceedings of the Society for Experimental Mechanics Series by Shanglei Li, Anish Poudel (auth.), Helena Jin, Cesar Sciammarella, Sanichiro Yoshida, Luciano Lamberti (eds.)