Abstract
Stress and strain fields are generally assumed homogeneous in high strain rate experiments. Therefore, only mean stress and strain are measured. However, this assumption is not valid for soft materials and/or very high strain rates. For heterogeneous dynamic tests, inverse techniques are usually proposed to identify the stress and strain fields. In this paper, a non-parametric method to identify the stress field is presented. This method is based on a force measurement on the specimen boundary and a displacement (strain) field measurement carried out by a digital image correlation technique. It is applied to measure the strain rate sensitivity of a synthetic rubber (Criblex 80). This new technique estimates the stress field with good accuracy.
Highlights
In several engineering applications, the structures used can undergo intermediate to high strain rate loadings
In order to design structures that can withstand this kind of loads, constitutive equations, which take into account strain rate sensitivity, are highly appreciated
We propose a non-parametric solution for measuring heterogeneous stress field in uni-axial dynamic experiments
Summary
In several engineering applications (automobile, aerospace, civil engineering, forming processes, etc.), the structures used can undergo intermediate to high strain rate loadings. In order to design structures that can withstand this kind of loads, constitutive equations, which take into account strain rate sensitivity, are highly appreciated. In order to develop or identify material constitutive equations, the stress-strain relation should be measured. The stress and strain in a specimen are mostly recovered from boundary measurements. The stress is recovered from a force measurement recorded at a sample end. The strain is deduced from a displacement recorded at the same or different sample side. This is possible as far as the assumption of homogeneous stress and strain fields is valid [14,15]. In the case of stress or strain heterogeneity, the conventional recovery of stress and strain may lead to significant inaccuracies [16e18]
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