Derivation of the tensile stress-strain curve from bending data

Laws, V.

doi:10.1007/bf01033845

Cited by 41 publications

(29 citation statements)

References 2 publications

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“…Besides expressing experimental challenges during the test, Mayville and Finnie concluded that the test would be particularly useful to obtain material parameters for finite element (FE) calculations since even brittle metals like Beryllium could easily be characterized. Laws [9] points out that the higher failure strains measured in bending have to be taken with care as tensile loading typically cannot reproduce these values [10]. Another attempt to measure small amounts of plasticity was documented by Piggott [11] by wrapping sheet materials around rods with different diameters and measuring the resulting post-deformation radii of the sheet material after unloading.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Characterization of Coatings Using Microbeam Bending and Digital Image Correlation Techniques

2008

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A new technique for characterizing end-supported microbeams of coating materials is presented. Microbeams are fabricated using micro-EDM machining to isolate the material under investigation from the underlying substrate. Three-and four-point bending is realized by a custom-built microspecimen testing system, and digital image correlation is employed to capture full-field strains and displacements in theses microbeams. These experiments provide the foundation for the use of finite element modeling and inverse methods to determine the mechanical properties (elastic moduli, strength, interfacial toughness) of the coatings. Here, the experimental details of the microbeam bending experiments are explained, discussed and illustrated through application to a multilayered metal/oxide/ ceramic thermal barrier coating system commonly used in aero-turbines.

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Section: Introductionmentioning

confidence: 99%

Mechanical Characterization of Coatings Using Microbeam Bending and Digital Image Correlation Techniques

2008

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“…Smaller strains in tension than in bending tests have already been observed in literature [4,11]. Beyond the Weibull modulus, it may come from a stress concentration due to inaccurate boundary conditions.…”

Section: Uniaxial Compressive and Tensile Testsmentioning

confidence: 82%

“…Therefore the determination of the fracture strengths might be biased for such quasi brittle ceramics. Obtaining reliable uniaxial results through bending tests is not a new idea but phenomenological approaches with inverse methods are usually preferred [4]. Instead of using numerical inverse methods, it is here preferred to directly determine a mechanical model suitable for tension and compression.…”

Section: Introductionmentioning

confidence: 99%

Damage law identiﬁcation of a quasi brittle ceramic from a b ending test using digital image correlation

Leplay

Réthoré

Meille

et al. 2010

EPJ Web of Conferences

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The quasi brittle ceramics show a non linear mechanical behaviour resulting most of the time in a dissymetry between their tensile and compressive stress-strain laws. The characterization of their fracture strengths might be biased if elastic linear formulae are used to analyze classical tests like bending tests. Based on Digital Image Correlation (DIC), a methodology is proposed to characterize materials with dissymmetric behaviours. Applying specific DIC decomposition functions for bending, compressive and tensile tests, a stress-strain model and its damage law are identified for aluminium titanate, a damageable micro cracked ceramic. This identification method using DIC can obviously be applied to other quasi brittle materials.

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“…Bending tests are also a viable alternative for estimation of uniaxial stress-strain relationships (Laws, 1981;Mayville and Finnie, 1982) and the simplest method for estimating the time-dependent behavior of rock (creep) (Price, 1964). However, these evaluations may well be inaccurate in the large strain range because they seem to be sensitive to the boundary conditions (Catteneo and Rosati, 1999).…”

Section: Equation 16mentioning

confidence: 99%

Development of a correlation between mineralogy, rock strength measures, and breakage of Copper Porphyries

Yildirim¹

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The role of the comminution step in mineral processing is to reduce the size of the ore so that the valuable minerals liberated from the gangue minerals, in preparation for beneficiation. The effectiveness of the comminution step is related to the rock strength, which controlled by the minerals making up the rock, relative mineral abundances, texture, fracture frequency, and its associations. Copper porphyry deposits account for approximately two-thirds of global copper and form a good basis for investigating the effects of ore structure in comminution.Recent developments in integrated studies between ore variability and mineral processing have driven the need to understand ore variability better as a means of maximizing the value from the ore. As a result, the developed methodologies are now being adapted for incorporation into geological and metallurgical databases, with the aim of linking ore mineralogy to comminution and beneficiation performance. However, the current developments are driven by statistical correlations rather than a fundamental and mechanistic understanding.This thesis aims to develop a fundamental mechanistic relationship between mineralogy, hardness, and breakage by focusing on proportional mineral ratio changes caused during copper ore formation. Incorporated geological understanding of porphyry copper ore formation and phyllic alteration to processing is studied for two case studies viz. Highland Valley Copper Mine (HVC) and Los Bronces Mine (LB) and the approach underpins and strengthens the current methodologies for predicting the mill throughput of copper porphyries.This new approach introduces the key ore-forming parameters to mineral processing. The relationship between processing performance (breakage) and the degree of phyllic alteration is studied. This provides a link of ore genesis with rock strength and breakage behavior. A mechanistic method of single impact load cell test was utilized to measure the rock strength. The link between the strength and primary geological features is studied using QXRD; X-ray computed tomography and automated logging instruments.The thesis establishes that there is a relationship between the proposed porphyry copper process alternation index (PAI) and rock strength. The methods in this study can be used in developing the relationships between primary geological features and the rock strength; providing a novel and powerful technique to propagate breakage characteristics into the geological model of an ore body. Barış Gazanfer Yıldırım ii Declaration by authorThis thesis is composed of my original work and contains no material previously published or written by another person except where due reference has been made in the text. I have clearly stated the contribution by others to jointly-authored works that I have included in my thesis.I have clearly stated the contribution of others to my thesis as a whole, including statistical assistance, survey design, data analysis, significant technical procedures, professional editorial advice, and a...

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Derivation of the tensile stress-strain curve from bending data

Cited by 41 publications

References 2 publications

Mechanical Characterization of Coatings Using Microbeam Bending and Digital Image Correlation Techniques

Mechanical Characterization of Coatings Using Microbeam Bending and Digital Image Correlation Techniques

Damage law identiﬁcation of a quasi brittle ceramic from a b ending test using digital image correlation

Development of a correlation between mineralogy, rock strength measures, and breakage of Copper Porphyries

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