Materials Science & Engineering Calculators
Material properties, hardness conversion, thermal expansion, stress-strain analysis, and creep
Materials Science and Engineering bridges the gap between fundamental atomic-level science and the practical selection and use of materials in engineering applications. The course helps engineers understand why materials behave the way they do — and how to choose and process them for specific applications.
The course covers the structure of materials from atomic bonding through crystalline microstructure to macroscopic properties. Phase diagrams describe the equilibrium phases present in alloy systems at different compositions and temperatures, enabling prediction of how heat treatment affects strength, hardness, and ductility. Mechanical properties — Young's modulus, yield strength, ultimate tensile strength, hardness, and fracture toughness — are connected to microstructure and measured through standardized tests. Stress-strain curves characterize material behavior from linear elastic through plastic deformation to fracture. Fatigue, creep, and corrosion are failure modes analyzed in the context of material selection and design. Thermal properties including thermal expansion, conductivity, and specific heat are critical for applications involving temperature changes. Hardness conversion between Rockwell, Brinell, and Vickers scales is a practical skill for materials inspection.
Understanding materials is essential for any engineer who specifies, procures, or works with physical components. Material selection mistakes — choosing a steel too brittle for low-temperature service, or an alloy susceptible to stress corrosion cracking — can lead to catastrophic failures.
Key Concepts
- •Atomic bonding and crystal structures
- •Dislocations and plastic deformation mechanisms
- •Phase diagrams and the iron-carbon system
- •Heat treatment of steel: annealing, quenching, tempering
- •Mechanical properties: strength, hardness, toughness, ductility
- •Stress-strain curve interpretation
- •Fracture mechanics and toughness (KIc)
- •Fatigue and creep failure modes
- •Corrosion mechanisms and prevention
- •Material selection using property charts (Ashby diagrams)
Prerequisites
General Chemistry
Atomic structure, bonding types, and chemical reactions are directly relevant to material microstructure.
Introductory Physics
Solid-state physics concepts (electron behavior, crystal lattice vibrations) underlie material properties.
Mechanics of Materials (helpful)
Understanding stress, strain, and failure modes helps contextualize material strength and toughness data.
Materials Calculators
Hardness Conversion Calculator
Convert between Rockwell C, Rockwell B, Brinell HB, Vickers HV, and approximate tensile strength using ASTM E140 data
Thermal Expansion Calculator
Calculate linear and volumetric thermal expansion ΔL = α·L₀·ΔT with presets for 10 common engineering materials
Stress-Strain Properties Calculator
Calculate modulus of resilience, approximate toughness, and elastic strain limit from E, σ_y, σ_UTS, and fracture strain
Material Comparison Calculator
Side-by-side comparison of two materials from 15 common engineering materials including density, E, σ_y, σ_UTS, α, k, and more
Creep Life Calculator
Calculate rupture time or allowable stress using the Larson-Miller parameter P = T(C + log₁₀(t_r))
Material Density Lookup
Searchable database of 30+ engineering materials with density in kg/m³, g/cm³, lb/ft³, and lb/in³
Hooke's Law Calculator
Solve for stress, modulus, or strain using Hooke's Law for normal and shear loading