scholarly journals Feasibility on accurate measurement of non-uniform strain field through contact methods

Author(s):  
Pratyush Kumar ◽  
U. Saravanan
Keyword(s):  
2021 ◽  
Vol 67 (3) ◽  
pp. 723-742
Author(s):  
Ludwig Herrnböck ◽  
Ajeet Kumar ◽  
Paul Steinmann

AbstractThis work addresses the determination of yield surfaces for geometrically exact elastoplastic rods. Use is made of a formulation where the rod is subjected to an uniform strain field along its arc length, thereby reducing the elastoplastic problem of the full rod to just its cross-section. By integrating the plastic work and the stresses over the rod’s cross-section, one then obtains discrete points of the yield surface in terms of stress resultants. Eventually, Lamé curves in their most general form are fitted to the discrete points by an appropriate optimisation method. The resulting continuous yield surfaces are examined for their scalability with respect to cross-section dimensions and also compared with existing analytical forms of yield surfaces.


Materials ◽  
2004 ◽  
Author(s):  
Dongchoul Kim ◽  
Wei Lu

A binary monolayer on an elastic substrate may self-organize into ordered nanoscale patterns. Here we report a work of using a substrate strain field to guide the self-assembly process. The study shows that straining a substrate uniformly does not influence the pattern. However, a non-uniform strain field significantly influences the size, shape and distribution of self-assembled features. The study suggests a method of strain field design to make various monolayer patterns.


2021 ◽  
Vol 484 ◽  
pp. 126689
Author(s):  
Yufang Bai ◽  
Jie Zeng ◽  
Jiwei Huang ◽  
Zhuming Cheng ◽  
Qidi Zhao ◽  
...  

Author(s):  
Wei Lu

A binary monolayer on an elastic substrate may self-organize into ordered nanoscale phase patterns. Here we report a work of using a substrate strain field to guide the self-assembly process. The study shows that straining a substrate uniformly does not influence the pattern. However, a non-uniform strain field significantly influences the size, shape and distribution of self-assembled features. The study suggests a method of strain field design to make various monolayer patterns.


Author(s):  
G.J.C. Carpenter

In zirconium-hydrogen alloys, rapid cooling from an elevated temperature causes precipitation of the face-centred tetragonal (fct) phase, γZrH, in the form of needles, parallel to the close-packed <1120>zr directions (1). With low hydrogen concentrations, the hydride solvus is sufficiently low that zirconium atom diffusion cannot occur. For example, with 6 μg/g hydrogen, the solvus temperature is approximately 370 K (2), at which only the hydrogen diffuses readily. Shears are therefore necessary to produce the crystallographic transformation from hexagonal close-packed (hep) zirconium to fct hydride.The simplest mechanism for the transformation is the passage of Shockley partial dislocations having Burgers vectors (b) of the type 1/3<0110> on every second (0001)Zr plane. If the partial dislocations are in the form of loops with the same b, the crosssection of a hydride precipitate will be as shown in fig.1. A consequence of this type of transformation is that a cumulative shear, S, is produced that leads to a strain field in the surrounding zirconium matrix, as illustrated in fig.2a.


Author(s):  
W. M. Kriven

Significant progress towards a fundamental understanding of transformation toughening in composite zirconia ceramics was made possible by the application of a TEM contrast analysis technique for imaging elastic strains. Spherical zirconia particles dispersed in a large-grained alumina matrix were examined by 1 MeV HVEM to simulate bulk conditions. A thermal contraction mismatch arose on cooling from the processing temperature of 1500°C to RT. Tetragonal ZrO2 contracted amisotropically with α(ct) = 16 X 10-6/°C and α(at) = 11 X 10-6/°C and faster than Al2O3 which contracted relatively isotropically at α = 8 X 10-6/°C. A volume increase of +4.9% accompanied the transformation to monoclinic symmetry at room temperature. The elastic strain field surrounding a particle before transformation was 3-dimensionally correlated with the internal crystallographic orientation of the particle and with the strain field after transformation. The aim of this paper is to theoretically and experimentally describe this technique using the ZrO2 as an example and thereby to illustrate the experimental requirements Tor such an analysis in other systems.


Sign in / Sign up

Export Citation Format

Share Document