Glossary

Complex Modulus

The complex modulus consists of two components, the storage and the loss moduli. The storage modulus (or Young’s modulus) describes the stiffness and the Viscous modulusThe complex modulus (viscous component), loss modulus, or G’’, is the “imaginary” part of the samples the overall complex modulus. This viscous component indicates the liquid like, or out of phase, response of the sample being measurement. loss modulus describes the damping (or viscoelastic) behavior of the corresponding sample using the method of Dynamic Mechanical Analysis (DMA). The complex modulus is the sum of the storage and Viscous modulusThe complex modulus (viscous component), loss modulus, or G’’, is the “imaginary” part of the samples the overall complex modulus. This viscous component indicates the liquid like, or out of phase, response of the sample being measurement. loss modulus where the Viscous modulusThe complex modulus (viscous component), loss modulus, or G’’, is the “imaginary” part of the samples the overall complex modulus. This viscous component indicates the liquid like, or out of phase, response of the sample being measurement. loss modulus is multiplied with i, the imagining unit.

The complex modulus is designated with a*.
E*= E‘+iE‘‘ and for the G modulus G*= G‘+iG‘‘

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The storage modulus and loss modulus for the E modulus

The storage modulus is defined as:

Complex modulus formula illustrating storage and loss moduli relationships in materials. Key for viscoelastic analysis.

The Viscous modulusThe complex modulus (viscous component), loss modulus, or G’’, is the “imaginary” part of the samples the overall complex modulus. This viscous component indicates the liquid like, or out of phase, response of the sample being measurement. loss modulus is defined as:

Equation showing the relationship between the loss modulus (E’’) and stress (σ₀) over strain (ε₀) for complex modulus analysis.

tanδ is the ratio between the storage and Viscous modulusThe complex modulus (viscous component), loss modulus, or G’’, is the “imaginary” part of the samples the overall complex modulus. This viscous component indicates the liquid like, or out of phase, response of the sample being measurement. loss modulus:

Complex modulus formula, featuring E* = E' + iE'', illustrating storage and loss moduli in materials testing.

Complex modulus equation highlighting storage and loss moduli relationships for material analysis and viscoelastic behavior.