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Strain-rate tensorJ-integralFlexural modulusElastic energyStrain ratePotential energy surfaceLinear elasticityStructure tensorStrain energyElastic modulusEquation of stateDynamic structure factorNeo-hookean solidStructural mechanicsHyperelastic materialDensity on a manifoldMatrix differential equationStrain hardening exponentEnergy densityStiffness matrixStructure factorResilienceFlexural strengthHamiltonian vector fieldTangent modulusPotential flowStructural dynamicsNewtonian fluidMaterial derivativeStress triaxialityElectromagnetic tensorInteratomic potentialFour-point flexural testSpecific modulusRadial distribution functionAlternative stress measuresPartial differential equationGravitational energyGenerating functionTensor densitySlope fieldState-space representationCompressive strengthDynamical systems theoryGauge factorLaplace operatorRheometryFlexural rigidityHeat fluxGauge covariant derivativeDensity matrixThermal effusivityHessian matrixTensor fieldHydrostatic stressPressure-gradient forceDifferential equationMetric tensorProbability-generating functionExact differential equationStrength of materialsCorrelation functionLinear differential equationEnergy operatorAnelasticityStretched grid methodLattice field theoryMagnetizationScalar fieldFinite strain theoryDensity of statesPotential gradientTait equationGradientArea densityStokes stream functionFractional anisotropyDisplacement currentSection modulusExact diagonalizationDynamic amplification factorStress intensity factorDifferential operatorGeometric flowLiouville field theoryEnstrophyOrdinary differential equationFieldHeat capacityDifferential invariantPotential vorticityFunctional data analysisRotational energyThermodynamic equationsGeneral covarianceDynamical mean-field theoryGraph fourier transformConjugate variablesFinite volume methodProbability mass function