Constrained Deformation of Materials: Devices, Heterogeneous - download pdf or read online
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 complicated small-scale constructions and heterogeneous fabric platforms. Mechanical deformations in skinny movies and miniaturized fabrics, quite often present in microelectronic units and programs, MEMS, nanostructures and composite and multi-phase fabrics, are seriously motivated by means of the exterior or inner actual confinement. A continuum mechanics-based method is used, including discussions on micro-mechanisms, to regard the topic in a scientific demeanour below the unified subject matter. Readers will locate helpful details 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 reports. also, specific awareness is paid to functional engineering relevance. therefore real-life reliability concerns are mentioned intimately to serve the wishes of researchers and engineers alike.
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Extra info for Constrained Deformation of Materials: Devices, Heterogeneous Structures and Thermo-Mechanical Modeling
If a f > a s , a compressive stress starts to develop in the metal film during heating ( DT > 0 ) and vice versa. With a sufficiently large magnitude of DT, sf will attain the yield strength sy and plastic deformation occurs. If the metal film can strain-harden, the magnitude of sf will continue to rise with a further temperature change. For an elastic-perfectly plastic film, however, sf stays constant and the metal is essentially free flowing (under equi-biaxial stress sy) so as to accommodate any further deformation induced by thermal mismatch.
The example above, while straightforward, illustrated the importance that one has to “know what he (she) is doing” to avoid wasteful efforts and ensure the generation of meaningful results using the numerical modeling approach. When using commercial programs (or any computer code for that matter), one is also advised to pay attention to the possible differences in their “default” settings such as the definition of stress and strain. 2 Example: Proper Interpretation and Use of the Output After the output is generated from the modeling, it is also essential to interpret the result with the right mechanistic understanding in mind.
This normally occurs when the elastic strains and viscous flow rates are small. In addition to creep, a viscoelastic material displays stress relaxation in that when a fixed strain is imposed, the induced stress will decrease over time. Continuum models describing the linear viscoelastic response commonly involves serial and/or parallel arrangements of linear springs and dashpots. The instantaneous elastic response is represented by the spring element of elastic modulus E, where the uniaxial stress and strain is related by s = Ee .
Constrained Deformation of Materials: Devices, Heterogeneous Structures and Thermo-Mechanical Modeling by Y.-L. Shen