Materials Science Reference

Young's Modulus & Elasticity Database

Explore typical Young's modulus, shear modulus, Poisson's ratio and density values for commonly used engineering materials.

Engineering Materials

23 materials found

Metals

Carbon Steel

Typical isotropic Young’s modulus for conventional carbon steels.

Young's Modulus

200

GPa

Young's Modulus

200GPa

Elastic stiffness in uniaxial tension/compression.

Shear Modulus

77GPa

Material stiffness under shear loading.

Poisson's Ratio

0.3ν

Lateral strain relative to longitudinal strain.

Density

7850kg/m³

Typical material density.

Engineering Note

Young's modulus is not a strength value. It describes elastic stiffness. A material with a higher Young's modulus undergoes less elastic deformation under the same stress, but it is not necessarily stronger.

Database Assumptions

  • Typical room-temperature values
  • Nominal engineering properties
  • Isotropic approximation where applicable
  • Values may vary by grade and processing

Engineering Code

Python
# Young's Modulus reference
# Values are typical room-temperature engineering values.

materials = {
    "Carbon Steel": 200.0,
    "AISI 304 Stainless Steel": 193.0,
    "AISI 316 Stainless Steel": 193.0,
    "Aluminum 6061-T6": 68.9,
    "Aluminum 7075-T6": 71.7,
    "Copper": 117.0,
    "Ti-6Al-4V": 114.0,
    "ABS": 2.3,
    "PEEK": 3.6,
}

material = "Carbon Steel"

if material in materials:
    E = materials[material]
    print(f"Young's Modulus: {E:.2f} GPa")
else:
    print("Material not found.")
MATLAB
% Young's Modulus reference
% Typical room-temperature engineering values.

material = "Carbon Steel";

switch material
    case 'Carbon Steel'
        E = 200.0;
    case 'AISI 304 Stainless Steel'
        E = 193.0;
    case 'AISI 316 Stainless Steel'
        E = 193.0;
    case 'Aluminum 6061-T6'
        E = 68.9;
    case 'Aluminum 7075-T6'
        E = 71.7;
    case 'Copper'
        E = 117.0;
    case 'Ti-6Al-4V'
        E = 114.0;
    case 'ABS'
        E = 2.3;
    case 'PEEK'
        E = 3.6;
    otherwise
        error('Material not found.');
end

fprintf('Young''s Modulus: %.2f GPa\n', E);

Technical Explanation: Young's Modulus

Young's modulus, also called the modulus of elasticity, is a fundamental material property used to describe elastic stiffness under normal loading. It defines the relationship between normal stress and normal strain while a material remains within its linear elastic range. Engineers use Young's modulus when estimating axial deformation, beam deflection, structural stiffness, and the elastic response of mechanical components.

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The value of Young's modulus depends on the material and its condition. It is commonly listed alongside properties such as density, Poisson's ratio, and shear modulus when defining an engineering material. The database on this page provides typical reference values for commonly used materials. These values are useful for preliminary engineering calculations, but material specifications and manufacturer data should be used when a design requires traceable or grade-specific properties.

Governing Young's Modulus Formula

For a homogeneous, isotropic material subjected to uniaxial loading within the linear elastic region, Young's modulus is defined as:

E = σ / ε

Here, E is Young's modulus, σis normal stress, and ε is normal strain. Normal stress is force divided by the loaded cross-sectional area, while normal strain is the change in length divided by the original length. Since strain is dimensionless, the units of Young's modulus are the same as the units of stress.

σ = F / A
ε = ΔL / L₀

Combining these relationships gives the familiar axial deformation equation:

ΔL = F L₀ / (A E)

This equation illustrates the engineering meaning of Young's modulus particularly well. For the same force, length, and cross-sectional area, increasing E reduces elastic elongation. The equation also shows that deformation depends on geometry as well as material stiffness; Young's modulus alone does not determine the deformation of a component.

Stress-Strain Interpretation

On a conventional engineering stress-strain curve, the initial linear portion represents elastic behavior in which stress is approximately proportional to strain. The slope of this linear portion is Young's modulus. When the material is unloaded within the elastic range, the deformation is substantially recoverable. Once the material reaches its yield region or another nonlinear regime, the simple relationship E = σ / ε is no longer sufficient to describe the complete material response.

This distinction is important in engineering analysis. Young's modulus characterizes elastic stiffness; it does not specify the yield strength, ultimate tensile strength, fracture toughness, fatigue strength, or allowable stress of a material.

High vs Low Young's Modulus

A material with a higher Young's modulus produces less elastic strain under the same applied normal stress. It is therefore elastically stiffer. A material with a lower modulus undergoes more elastic deformation under the same stress.

A high Young's modulus is not automatically preferable for every application. Some components are intentionally designed to deform, flex, absorb energy, or provide compliance. The required modulus therefore depends on the function of the component and the allowable deformation specified by the design.

Young's Modulus vs Strength

Young's modulus and strength describe different aspects of material behavior. Young's modulus determines the slope of the elastic stress-strain response, while yield strength describes the stress associated with the onset of significant permanent deformation and ultimate tensile strength describes the maximum engineering stress reached in a tensile test.

Consequently, changing to a material with a higher Young's modulus does not automatically mean that the component has a higher allowable stress or safety factor. A complete mechanical design check must consider the applicable strength, fatigue, buckling, fracture, temperature, and serviceability requirements in addition to elastic stiffness.

Units of Young's Modulus

Because Young's modulus has the same dimensional units as stress, common engineering units include Pa, MPa, and GPa. In SI calculations, metals and many structural materials are frequently represented in GPa because their modulus values are relatively large.

The most important requirement is unit consistency. For example, when force is expressed in newtons and area in square millimeters, stress is obtained in N/mm², which is numerically equivalent to MPa. Therefore, an elastic modulus entered in MPa is compatible with this stress unit system.

Relationship with Shear Modulus and Poisson's Ratio

Young's modulus is one of several elastic constants used to characterize a material. For a linear, homogeneous, isotropic material, Young's modulus E, shear modulus G, and Poisson's ratio ν are related by:

E = 2G(1 + ν)

Young's modulus describes resistance to normal strain, whereas shear modulus describes resistance to shear strain. Poisson's ratio describes the lateral strain produced when a material is stretched or compressed longitudinally. These relationships are useful when converting elastic properties for isotropic material models.

Isotropic and Anisotropic Materials

The simple Young's modulus definition is particularly straightforward for isotropic materials, for which elastic behavior is the same in every direction. Many metals can often be approximated as isotropic for ordinary engineering calculations when their processing history does not introduce significant directional behavior.

Anisotropic materials require more care. Fiber-reinforced composites, rolled materials, laminated structures, and some natural materials can have different stiffness values depending on loading direction. A single Young's modulus may therefore be insufficient for a detailed anisotropic material model.

Temperature Dependence

Young's modulus generally changes with temperature. For many engineering materials, elastic stiffness decreases as temperature increases, although the exact behavior depends on composition, microstructure, phase condition, and temperature range. Near a softening, transition, or melting range, the change can become much more pronounced.

Temperature can also affect strength, thermal expansion, creep, and other properties independently of Young's modulus. Therefore, room-temperature database values should not automatically be used for elevated-temperature structural analysis.

Practical Engineering Applications

Young's modulus is used throughout mechanical and structural engineering. Typical applications include calculating axial deformation of rods and bolts, estimating beam deflection, evaluating stiffness of brackets and frames, and defining material behavior in finite element analysis. In beam calculations, the modulus commonly appears together with the second moment of area because both material stiffness and cross-sectional geometry control bending stiffness.

For example, the bending stiffness of a beam is commonly represented by EI, where E is Young's modulus and I is the second moment of area. This demonstrates why material selection and geometry cannot be separated when evaluating structural deformation.

FEA and Material Selection

Young's modulus is a fundamental input for many linear elastic finite element models. However, an FEA material definition normally requires additional properties such as Poisson's ratio, density, yield strength, thermal properties, or nonlinear stress-strain data, depending on the analysis type.

The values presented in a reference database are therefore most appropriate for preliminary calculations, educational work, and initial material comparison. Final FEA and mechanical design verification should use properties corresponding to the actual material grade, condition, temperature, manufacturing process, and applicable specification.

Assumptions and Limitations

  • The basic relationship E = σ / ε applies to the linear elastic portion of the material response.
  • The simple isotropic interpretation assumes that elastic behavior does not depend on loading direction.
  • Young's modulus alone does not define material strength, failure behavior, fatigue performance, or allowable stress.
  • Reference values may vary with material grade, temperature, processing condition, test method, and direction of measurement.
  • A material database value should not be treated as a substitute for the governing material specification or manufacturer data in final design verification.

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Frequently Asked Questions

What is Young's modulus?

Young's modulus is a measure of a material's elastic stiffness. It represents the ratio between normal stress and normal strain within the linear elastic region.

Is a higher Young's modulus always better?

No. The appropriate stiffness depends on the application. Some designs require flexibility or controlled deformation, while others require high rigidity.

What is the difference between Young's modulus and shear modulus?

Young's modulus describes axial elastic stiffness, whereas shear modulus describes resistance to shear deformation.

Can these values be used directly in FEA?

They can be useful for preliminary calculations, but final FEA models should use material properties from the applicable material specification, manufacturer datasheet or design standard.