Fracture strength of tourmaline and epidote by three-point bending test: application to microboudin method for estimating absolute magnitude of palaeodifferential stress

Kimura, Nozomi; Araki, Hideo; Okamoto, Masato; Matsumura, Yuta; Masuda, Toshiaki

doi:10.1016/j.jsg.2006.03.020

Cited by 17 publications

(9 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They considered influence of various parameters like friction and relative position of the puncher which in their numerical investigations. Kimura et al [17] used three-point bending tests to determine fracture strengths their millimeter-scale tourmaline and epidote samples by means of using different size-effect models for selecting the most appropriate size of their materials test sample. All of these studies aimed finding flexural quantities of materials by means of three point bending tests by numerical modeling or experimental studies to determine effective parameters to the measurement results and accuracy during the test procedure.…”

Section: Resultsmentioning

confidence: 99%

“…These results also will provide the user and producers to select more appropriate material of their product which provides more safety and functionality. As stated in literature review [10][11][12][13][14][15][16][17] there are many different kind of uncertain sources which are also have important role on combined uncertainty. In the second step of this research new kind of material and more different sized geometries are aimed to investigate as effective uncertainty components.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Calculation of measurement uncertainty for plastic (ABS) material in flexural testing

Günay

Fank

Gülmez

et al. 2013

Int. J. Metrol. Qual. Eng.

View full text Add to dashboard Cite

Abstract. In order to determine mechanical properties of materials various kind of tests can be applied by means of using their tensile strength, lower yield stress, proof stress, impact strength, Brinell, Rockwell and surface hardness, elongation after fracture properties. Among these tests, three point flexural testing method has some advantages such as easy preparation (production) of samples and no gripping problems comparing to tension test. Flexural tests results should be obtained accurately to provide expected testing performance. The measurement uncertainty of flexural tests should be calculated by conducting all effective uncertainty parameters during the test procedure. In this study, the measurement uncertainty of the flexural test of ABS (Acrylonitrile Butadiene Styrene) material was investigated, which is widely used as industrial plastic material in many applications.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Calculation of measurement uncertainty for plastic (ABS) material in flexural testing

Günay

Fank

Gülmez

et al. 2013

Int. J. Metrol. Qual. Eng.

View full text Add to dashboard Cite

show abstract

“…Masuda et al (2008) introduced K 0 and K C to incorporate the influence of time on the fracture strength of minerals and assumed a value of K 0 /K C = 0.1. Kimura et al (2006) …”

Section: Basic Theorymentioning

confidence: 99%

“…Columnar tourmaline grains embedded within a quartz matrix have constant E q /E f and A 0 values of 2 and 0.4, respectively (Kimura et al, 2006(Kimura et al, , 2010.…”

Section: Shear-lag Modelmentioning

confidence: 99%

“…The microboudinage of an intact columnar grain into two separate segments takes place in three stages : (1) before fracturing, (2) during fracturing, and (3) after fracturing. By studying Stages 1 and 2 of microboudinage, Masuda et al (1989Masuda et al ( , 2003 and Kimura et al (2006Kimura et al ( , 2010 developed a paleopiezometer based on the microboudinage structures developed within columnar mineral grains. The microboudin paleopiezometer is superior to other widely used paleopiezometers, such as those based on recrystallized grain size (e.g., Stipp and Tullis, 2003) and calcite twinning (e.g., Lacombe, 2007), because it can reveal trends in differential stress with increasing plastic strain (Masuda et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The relationship between the proportion of microboudinaged columnar grains and far–field differential stress: A numerical model for analyzing paleodifferential stress

Matsumura

Kuwatani

Masuda

2017

Journal of Mineralogical and Petrological Sciences

Self Cite

View full text Add to dashboard Cite

Microboudin paleopiezometry is an intensive endeavor that involves measurement of several hundred grains per sample to produce reliable estimations of far-field differential stress. This procedure is particularly time-consuming when conducting stress analysis for a large number of samples within a metamorphic belt. To improve and expedite the stress estimation procedure, we propose a numerical model that uses grain-shape data to calculate the relationship between the proportion of microboudinaged columnar grains ( p) and the far-field differential stress (σ 0 ). Our model combines the weakest link theory and the shear-lag model. The weakest link theory is used to derive the fracture strength of grains, whereas the shear-lag model is used to determine the relationship between the differential stress within a grain (σ) and σ 0 . An intact grain becomes a microboudinaged grain when σ is higher than its fracture strength at a specific point within the grain. Here, we make calculations of p for all intact grains under increasing σ 0 from 0 to 20 MPa. Our calculations show that the modeled and observed distributions of p and the aspect ratio have similar patterns for both intact and microboudinaged grains. The value of p increases with increasing σ 0 , with 70% of the grains being microboudinaged when σ 0 = 20 MPa. These results suggest that our model is capable of reproducing observed data for microboudinaged columnar grains and that the relationship between p and σ 0 can be used to estimate the magnitude of differential stress without the need to measure grain-size data for several hundred grains with a wide range of aspect ratios.

show abstract

Kinetics and duration of metamorphic mineral growth in a subduction complex: zircon and phengite in the Nagasaki metamorphic complex, western Kyushu, Japan

Miyazaki

Suga

Mori

et al. 2019

Contrib Mineral Petrol

View full text Add to dashboard Cite

We applied interface-controlled kinetics, including interface-controlled Ostwald ripening and non-hydrostatic dissolutionprecipitation, to metamorphic zircon and phengite growth in a high-pressure (high-P) metamorphic complex. This kinetic modeling yields the growth duration of metamorphic zircon, based on the assumption that dissolution and precipitation of zircon is much slower than that of phengite. The model was applied to zircon and phengite growth in the Nishisonogi unit of the high-P Nagasaki metamorphic complex, western Kyushu, Japan. Given that detrital zircons that are tens of microns in size remain after metamorphism, our model assumption is justified. Our results show that the duration of metamorphic zircon growth in an individual rock ranges from 10 to 20 Myr. In general, the duration of metamorphic zircon growth in the whole Nishisonogi unit is ca. 30 Myr. This prolonged duration implies that high-P metamorphism is sustained by continuous subduction of hydrated oceanic crust and overlying trench-fill sediments. The continuous subduction and accretion of these materials may supply the metamorphic fluid into the high-P metamorphic domain in the deeper part of the accretionary prism, thereby contributing to interface-controlled kinetics in the metamorphic complex.

show abstract

Fracture strength of tourmaline and epidote by three-point bending test: application to microboudin method for estimating absolute magnitude of palaeodifferential stress

Cited by 17 publications

References 50 publications

Calculation of measurement uncertainty for plastic (ABS) material in flexural testing

Calculation of measurement uncertainty for plastic (ABS) material in flexural testing

The relationship between the proportion of microboudinaged columnar grains and far–field differential stress: A numerical model for analyzing paleodifferential stress

Kinetics and duration of metamorphic mineral growth in a subduction complex: zircon and phengite in the Nagasaki metamorphic complex, western Kyushu, Japan

Contact Info

Product

Resources

About