Topic
Elastic modulus
About: Elastic modulus is a research topic. Over the lifetime, 33153 publications have been published within this topic receiving 810247 citations.
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TL;DR: In this paper, the authors examined the work done during indentation using dimensional analysis and finite element calculations for conical indentation in elastic-plastic solids with work hardening, and proposed a method for estimating the hardness and modulus of solids using instrumented indentation with conical or pyramidal indenters.
Abstract: The work done during indentation is examined using dimensional analysis and finite element calculations for conical indentation in elastic-plastic solids with work hardening. An approximate relationship between the ratio of hardness to elastic modulus and the ratio of irreversible work to total work in indentation is found. Consequently, the ratio of hardness to elastic modulus may be obtained directly from measuring the work of indentation. Together with a well-known relationship between elastic modulus, initial unloading slope, and contact area, a new method is then suggested for estimating the hardness and modulus of solids using instrumented indentation with conical or pyramidal indenters.
518 citations
TL;DR: In this article, the authors used micro-Raman spectroscopy to monitor the cooling-induced compressive deformation of carbon nanotubes embedded in an epoxy matrix, and derived the Young's modulus of single and multi-wall carbon nano-tubes from a concentric cylinder model for thermal stresses.
Abstract: Micro-Raman spectroscopy is used to monitor the cooling-induced compressive deformation of carbon nanotubes embedded in an epoxy matrix. Young’s modulus of single- and multiwall nanotubes may then be derived from a concentric cylinder model for thermal stresses, using the D*-band shift for each tube type. The resulting values of the elastic moduli are in very good agreement with predicted theoretical values, and with the published experimental data set of Treacy et al., Nature (London) 381, 678 (1996).
517 citations
TL;DR: In this article, the elastic behavior of multi-walled carbon nanotubes (MWCNTs) is investigated and the authors show that the Young's moduli and shear moduli of MWCNTs are in the ranges of 1.05±0.05 and 0.40±0.05 TPa, respectively.
517 citations
TL;DR: The surface area to volume ratio proved to be a key variable to explain the size-dependency of the modulus and the values decreased as the specimens became smaller, whereas for relatively large specimens, the values remained fairly constant.
515 citations
TL;DR: In this article, a device and procedure for measuring elastic properties of gelatin for elasticity imaging (elastography) was described. And the measured compression forces were comparable to results obtained from finite element analysis when linear elastic media are assumed.
Abstract: Acoustic and mechanical properties are reported for gelatin materials used to construct tissue-like phantoms for elasticity imaging (elastography). A device and procedure for measuring elastic properties are described. The measured compression forces were comparable to results obtained from finite element analysis when linear elastic media are assumed. Also measured were the stress relaxation, temporal stability, and melting point of the materials. Aldehyde concentration was used to increase the stiffness of the gelatin by controlling the amount of collagen cross-linking. A broad range of tissue-like elastic properties was achieved with these materials, although gels continued to stiffen for several weeks. The precision for elastic modulus measurements ranged from less than 0.1% for 100 kPa samples to 8.9% for soft (<10 kPa), sticky samples.
511 citations