Estimating Measurement Uncertainty on Stress-Strain Curves from SHPB

On the measurement of stress–strain curves by spherical indentation

It has been proposed that with the appropriate models, instrumented indentation test (IIT) data can be reduced to yield the uniaxial stress–strain behavior of the test material. However, very little work has been done to directly compare the results from uniaxial tension and spherical indentation experiments. In this work, indentation and uniaxial tension experiments have been performed on the ...

Estimating Measurement Uncertainty

Most analytical methods are relative and hence require calibration. Calibration measurements are normally performed with reference materials or calibration standards. Typically least squares methods have been employed in such a manner as to ignore uncertainties associated with the calibration standards. However different authors [3, 4, 11] have shown that by taking into account the uncertaintie...

Estimating isogenies on elliptic curves

The object of this paper is to prove a new type of estimate for isogenies between elliptic curves. This has several diophantine applications (effective versions of Serre's Galois irreducibility theorem and Shafarevich's theorem, for example) which are presented in another paper [MW3]. Later articles will deal with the corresponding problems for abelian varieties of arbitrary dimension. Right at...

Modifying Stress-Strain Curves Using Optimization and Finite Elements Simulation Methods

Modifying stress-strain curves is one of the important topics in mechanical engineering and materials science. Real stress-strain curves should be modified after necking point as stress becomes three-dimensional after creation of throat, and consequently, equivalent stress should be used instead of axial one. Also, distribution of triple stresses across throat section is not uniform anymore, an...

Large Strain Range Dynamic Testing at High and Medium Strain Rates, Using a Common Scale SHPB