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Here ν is Poisson's ratio, E is Young's modulus, n is a unit vector directed along the direction of extension, m is a unit vector directed perpendicular to the direction of extension. Poisson's ratio has a different number of special directions depending on the type of anisotropy. [11] [12]
The elastic properties can be well-characterized by the Young's modulus, Poisson's ratio, Bulk modulus, and Shear modulus or they may be described by the Lamé parameters. Young's modulus [ edit ]
The Poisson's ratio is a measure in which a material tends to expand in directions perpendicular to the direction of compression. After measuring the Young's modulus and the shear modulus, dedicated software determines the Poisson's ratio using Hooke's law which can only be applied to isotropic materials according to the different standards.
The stress-strain relations for a linear elastic Kirchhoff plate are given by ... is Poisson's Ratio and is Young's Modulus. The moments corresponding to these ...
The plate elastic thickness (usually referred to as effective elastic thickness of the lithosphere). The elastic properties of the plate; The applied load or force; As flexural rigidity of the plate is determined by the Young's modulus, Poisson's ratio and cube of the plate's elastic thickness, it is a governing factor in both (1) and (2).
Young's modulus is defined as the ratio of the stress (force per unit area) applied to the object and the resulting axial strain (displacement or deformation) in the linear elastic region of the material. Although Young's modulus is named after the 19th-century British scientist Thomas Young, the concept was developed in 1727 by Leonhard Euler.
where is the Young's modulus, is the Poisson's ratio, and are the in-plane strains. The through-the-thickness shear stresses and strains are related by ...
Young's modulus (E) 2.0–2.4 G Pa: Tensile strength (σ t) 55–75 MPa: Elongation (ε) at break: 80–150%: Compressive strength (σ c) >80 MPa: Poisson's ratio (ν) 0.37: Hardness—Rockwell: M70: Izod impact strength: 600–850 J/m: Notch test: 20–35 kJ/m 2: Abrasive resistance ASTM D1044: 10–15 m g/1000 cycles: Coefficient of friction ...