Class SolidMechanics

java.lang.Object

org.episteme.natural.physics.classical.matter.solidstate.SolidMechanics

public class SolidMechanics
extends Object

Solid Mechanics equations (Stress, Strain, Elasticity).

Formerly MaterialProperties.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Real	bendingStress(Real moment, Real y, Real momentOfInertia)	Bending stress in a beam.
static Real	brinellToRockwellC(Real brinell)	Hardness conversion: Brinell to Rockwell C (approximate).
static Real	bulkModulus(Real youngsModulus, Real poissonsRatio)	Bulk modulus from E and ν.
static Real	eulerBucklingLoad(Real youngsModulus, Real momentOfInertia, Real length)	Critical buckling load (Euler formula).
static Real	hookesLaw(Real strain, Real youngsModulus)	Hooke's law: stress-strain relation.
static Real	shearModulus(Real youngsModulus, Real poissonsRatio)	Shear modulus from Young's modulus and Poisson's ratio.
static Real	strainFromStress(Real stress, Real youngsModulus)	Strain from stress.
static Real	thermalExpansion(Real length, Real alpha, Real deltaT)	Thermal expansion.
static Real	thermalStress(Real youngsModulus, Real alpha, Real deltaT)	Thermal stress (constrained expansion).
static Real	transverseStrain(Real axialStrain, Real poissonsRatio)	Poisson's ratio relation.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

hookesLaw

public static Real hookesLaw(Real strain,
 Real youngsModulus)

Hooke's law: stress-strain relation. σ = E * ε

strainFromStress

public static Real strainFromStress(Real stress,
 Real youngsModulus)

Strain from stress. ε = σ / E

transverseStrain

public static Real transverseStrain(Real axialStrain,
 Real poissonsRatio)

Poisson's ratio relation. ε_transverse = -ν * ε_axial

shearModulus

public static Real shearModulus(Real youngsModulus,
 Real poissonsRatio)

Shear modulus from Young's modulus and Poisson's ratio. G = E / (2 * (1 + ν))

bulkModulus

public static Real bulkModulus(Real youngsModulus,
 Real poissonsRatio)

Bulk modulus from E and ν. K = E / (3 * (1 - 2ν))

thermalExpansion

public static Real thermalExpansion(Real length,
 Real alpha,
 Real deltaT)

Thermal expansion. ΔL = L0 * α * ΔT

thermalStress

public static Real thermalStress(Real youngsModulus,
 Real alpha,
 Real deltaT)

Thermal stress (constrained expansion). σ = E * α * ΔT

bendingStress

public static Real bendingStress(Real moment,
 Real y,
 Real momentOfInertia)

Bending stress in a beam. σ = M * y / I

eulerBucklingLoad

public static Real eulerBucklingLoad(Real youngsModulus,
 Real momentOfInertia,
 Real length)

Critical buckling load (Euler formula). P_cr = π² * E * I / L²

brinellToRockwellC

public static Real brinellToRockwellC(Real brinell)

Hardness conversion: Brinell to Rockwell C (approximate).