Stress (σ): 0.00 MPa
Strain (ε): 0.00
Extension (ΔL): 0.00 mm
Young's Modulus (Y): 200.0 GPa
Steel - High strength, commonly used in construction
Young's Modulus: 200 GPa
Young's modulus, also known as the elastic modulus, is a mechanical property that measures the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.
Young's modulus (E) is defined as the ratio of tensile stress (σ) to tensile strain (ε) in the elastic region of the stress-strain curve:
E = σ / ε
Where:
Therefore, Young's modulus can be expressed as:
E = (F × L) / (A × ΔL)
Young's modulus is measured in pascals (Pa) or newtons per square meter (N/m²). For engineering materials, it's commonly expressed in gigapascals (GPa).
Materials with a high Young's modulus are stiff and require large forces to produce small deformations. Materials with a low Young's modulus are more flexible and deform more easily under applied loads.
Young's modulus is essentially a measure of how much a material will deform under a given load, following Hooke's Law which states that the strain in a solid is proportional to the applied stress within the elastic limit of that solid.
Young's modulus is crucial in various engineering applications:
Several factors can influence the Young's modulus of a material:
Different materials have different Young's modulus values: