By Y.-L. Shen
"Constrained Deformation of fabrics: units, Heterogeneous constructions and Thermo-Mechanical Modeling" provides an in-depth examine the mechanical analyses and modeling of complex small-scale constructions and heterogeneous fabric platforms. Mechanical deformations in skinny motion pictures and miniaturized fabrics, in general present in microelectronic units and programs, MEMS, nanostructures and composite and multi-phase fabrics, are seriously inspired via the exterior or inner actual confinement. A continuum mechanics-based procedure is used, including discussions on micro-mechanisms, to regard the topic in a scientific demeanour lower than the unified subject matter. Readers will locate worthwhile info at the right program of thermo-mechanics in numerical modeling in addition to within the interpretation and prediction of actual fabric habit, in addition to many case stories. also, specific consciousness is paid to useful engineering relevance. hence real-life reliability matters are mentioned intimately to serve the wishes of researchers and engineers alike.
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Extra resources for Constrained Deformation of Materials: Devices, Heterogeneous Structures and Thermo-Mechanical Modeling
5. 5) represent the spans of the temperature-dependent elastic domain (yield surface), and the right-hand sides are the measured spans used for determining the yield strength values. 6) where Da is the difference in CTE between Cu and the substrate, and DT is the temperature change involved. 5 are a result of the model with s0 = 305 MPa, T0 = 1,090 K and H = 77 GPa. It satisfactorily fits the measured loop ABCD. With simple extrapolation to lower temperature, the model also matches the cryogenic thermal cycle quite well.
Belytschko (2007) A first course in finite elements, Wiley, New York. 19. O. C. Zienkiewicz, R. L. Taylor and J. Z. , Elsevier Butterworth-Heinemann, Oxford. 20. J. N. , McGraw-Hill, New York. 21. J. F. Nye (1972) Physical properties of crystals – Their representation by tensors and matrices, Oxford University Press, London. 22. W. A. Backofen (1972) Deformation processing, Addison-Wesley, Reading, Massachusetts. Chapter 3 Thin Continuous Films One of the simplest types of physical confinement is a thin continuous film (or blanket film) attached to a thick substrate material.
An implicit assumption for this type of testing is that the substrate material is very compliant, so it tends not to “interfere” with the intrinsic deformation characteristics of the thin film. The stress–strain curve of the film can be determined by separating the force carried by the polymer substrate (through testing of the bare substrate) from that carried by the film/substrate structure. Alternatively, the strain and stress states in the metal film can be monitored in situ by X-ray diffraction .