Modification of poroelastic properties in granite by …

The variations of bulk modulus, stiffness of solid grains and Biot's coefficient of thermally treated samples are determined and analyzed. It is found that …

Nonlinear statistical damage constitutive model of granite

Molladavoodi et al. 42 assumed that the shear and bulk modulus of rock elements follow the Weibull distribution and then used a constitutive model to link the Mohr–Coulomb strain-softening model ...

(PDF) Evaluation Method of Granite Multiscale Mechanical …

The results show that the elastic modulus and hardness of the quartz in the granite is the largest, the feldspar is the second, the mica is the smallest. The main …

Granite – Density – Heat Capacity – Thermal Conductivity

The Young's modulus of elasticity is the elastic modulus for tensile and compressive stress in the linear elasticity regime of a uniaxial deformation and is usually assessed by tensile tests. See also: Strength of Materials. Ultimate Tensile Strength of Granite. Ultimate tensile strength of Granite is 4.8 MPa. Yield Strength of Granite

12.3 Stress, Strain, and Elastic Modulus

The elastic modulus for tensile stress is called Young's modulus; that for the bulk stress is called the bulk modulus; ... we find the value of Young's modulus for granite in Table 12.1 and invert Equation 12.36. Solution The volume of the pillar segment with height h = 3.0 m h = 3.0 m and cross-sectional area A = 0.20 m 2 A = 0.20 m 2 is V ...

Evaluation Method of Granite Multiscale Mechanical …

The equivalent bulk modulus and shear modulus of granite are obtained by the above methods and procedures. The elastic modulus and the Poisson ratio can be calculated as follows: (22) (23) The mechanical parameters of granite obtained by three homogenization methods are shown in Table 1. It can be seen that the elastic modulus …

Mechanical behaviour of granite. A compilation, analysis and

Correlation relationships between the physical parameters of granite (bulk density, porosity, ultrasonic P-wave velocity) and its basic mechanical parameters (compressive strength, tensile ...

Evolution of bulk compressibility and permeability of granite …

Granite samples were subjected to heating at different temperatures and rapid water cooling. Hydrostatic compression tests were performed on the thermally treated samples. The initial tangent bulk modulus was measured. The critical value of hydrostatic stress for closing thermally induced micro-cracks was identified and the residual …

Metals and Alloys

Stainless steel with Bulk Modulus 163 10 9 Pa is approximate 80 times harder to compress than water with Bulk Modulus 2.15 10 9 Pa. Bulk Modulus is related to Modulus of Elasticity and Poisson's Ratio as. K = E / 3 (1 - 2 r) (1) where . K = Bulk Modulus (Pa (N/m 2), psi (lb f /in 2) E = Modulus of Elasticity (Pa (N/m 2), psi (lb f /in 2) r ...

Journal of Geophysical Research: Solid Earth

Only λ and shear modulus (μ) appear in Hooke's law and not Young's modulus (E), the bulk modulus (K) or Poisson's ratio (υ). Unfortunately, so far little has been known about the characteristic λ value for each common type of crystalline rocks that constitute the Earth's crust and upper mantle and its variation with pressure (P ...

12.3 Stress, Strain, and Elastic Modulus

Bulk strain is the response of an object or medium to bulk stress. Here, the elastic modulus is called the bulk modulus. Bulk stress causes a change in the volume of the object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is the reciprocal of …

Table 3 . Bulk modulus and shear modulus of each interface

Chae and Seo (2011) considered the influence of microcracks on the elastic modulus and subsequently adopted the rock mass elastic modulus to determine the REV of Inada granite in Japan. Zhang et ...

The effect of fracture density and stress state on the …

and dynamically measured bulk compressibility. Simmons and Brace [1965] and Cheng and Johnston [1981] found that the ratio of static to dynamic bulk modulus (K static/K dynamic) of dry Westerly granite is approxi-mately 0.5 at atmospheric pressure and increases to 0.9 at and above 200MPa effective pressure (confining pressure minus …

Failure analysis of Nehbandan granite under various stress …

This study presents a comprehensive procedure for determining, calibrating, and validating the Riedel–Hiermaier–Thoma (RHT) material model parameters for …

Solved Determine the change in volume of a 1.00 m3 block …

The bulk modulus of granite is 5x 10 Pa. Draw a diagram. Determine the change in volume of a 1.00 m3 block of granite when it is submerged about 3 km in the ocean, where the pressure on all surfaces is about 300 times ordinary atmospheric pressure of 1.013 x 105 Pa. The bulk modulus of granite is 5x 10 Pa. Draw a diagram.

The Complicated Link Between Material Properties and Microfracture

Here we present material property data: unconfined compressive strength, bulk density (ρ), Young's modulus (E), ... Bulk densities of pre-ex granite samples vary from 2.55 to 2.65 g/cc, while post-ex and post-multi-ex granite bulk densities range from 2.43 to 2.67 g/cc (Figure 2b). It is interesting to note that some of the post-ex and post ...

Nonlinear statistical damage constitutive model of granite

Molladavoodi et al. 42 assumed that the shear and bulk modulus of rock elements follow the Weibull distribution and then used a constitutive model to link the …

Strength and deformation properties of granite, basalt, …

Rock

Rock - Mechanical Properties: When a stress σ (force per unit area) is applied to a material such as rock, the material experiences a change in dimension, volume, or shape. This change, or deformation, is called strain (ε). Stresses can be axial—e.g., directional tension or simple compression—or shear (tangential), or all-sided (e.g., …

Poroelastic Properties of Sierra White Granite

For the Sierra White granite sample tested, the Biot's coefficient measurement, grain bulk modulus (K^{prime}_{s}) shows a linear behavior, while both drained bulk modulus (K) and poroelastic expansion coefficient (H) show non-linear behaviors and are stress dependent. The measured grain bulk modulus of 50 GPa is …

Bulk Modulus Of Elasticity

Bulk modulus is defined as the proportion of volumetric stress related to the volumetric strain of specified material while the material deformation is within the  elastic limit. In simpler words, the bulk modulus is nothing but a numerical constant that is used to measure and describe the elastic properties of a solid or fluid when ...

12.4: Stress, Strain, and Elastic Modulus (Part 1)

The elastic modulus for tensile stress is called Young's modulus; that for the bulk stress is called the bulk modulus; ... we find the value of Young's modulus for granite in Table (PageIndex{1}) and invert Equation ref{12.36}. Solution. The volume of the pillar segment with height h = 3.0 m and cross-sectional area A = 0.20 m 2 is

12.3 Stress, Strain, and Elastic Modulus – University Physics …

Bulk strain is the response of an object or medium to bulk stress. Here, the elastic modulus is called the bulk modulus. Bulk stress causes a change in the volume of the object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is the reciprocal of …

Solved Calculate the speed of 3-D longitudinal waves in

( Bulk modulus of water, granite, and steel : 2.2x10^9. Calculate the speed of 3-D longitudinal waves in water, granite, and (c) steel. b) A transverse wave on a cord of mass 0. 6 5 kg is stretched between two supports 8. 0 m apart is created.

Saturating a Tight Rock and Measuring Its Hydromechanical …

In this research, hydromechanical properties – drained bulk modulus K, unjacketed bulk modulus (K^{prime}_s), Biot coefficient α, and permeability k – are determined for a well-known crystalline rock of low-porosity, Westerly blue granite.

Solved a.) A sample of granite in the laboratory is observed

Question: a.) A sample of granite in the laboratory is observed to have a P velocity of 5.5 km/s and a density of 2.6 Mg/m3 . Assuming it is a Poisson solid, obtain values for the Lam´e parameters,Young's modulus, and the bulk modulus. Express your answers in pascals. b.) What is the P /S velocity ratio for a rock with a Poisson's ratio of ...

An Insight into the Mechanical and Fracture Characterization …

It is extremely important to investigate the mechanical properties and failure characteristics of granite at the mesoscale to understand the mesoscopic evolution mechanism of the time-dependent fracture of deep-buried hard rocks. This study explores the mesoscopic mechanical properties (i.e., hardness, Young's modulus, and fracture …

Investigation of the relationship between dynamic and static

The determination of deformation parameters of rock material is an essential part of any design in rock mechanics. The goal of this paper is to show, that there is a relationship between static and dynamic modulus of elasticity (E), modulus of rigidity (G) and bulk modulus (K).For this purpose, different data on igneous, sedimentary and …

Determining Young's modulus of granite using accurate …

The goal of this work is to measure the entire microstructure and all microscale mechanical properties experimentally and apply those in accurate grain …

12.3 Stress, Strain, and Elastic Modulus

To find the compressive strain, we find the value of Young's modulus for granite in and invert . Solution. The volume of the pillar segment with height [latex] h=3.0,text{m} [/latex] and cross-sectional area [latex] A=0.20,{text{m}}^{2} [/latex] is ... bulk modulus elastic modulus for the bulk stress bulk strain (or volume strain) strain ...