Jaumann co-rotational rate

mechanics

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June 29, 2026

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The Jaumann co-rotational rate is a concept in continuum mechanics used to describe the rate of change of stress in a material. It is a derivative that follows the motion of a material point and is calculated by an observer who spins with the average angular velocity of a material element. This rate is particularly useful in analyzing the elastic-plastic behavior of solids, where it helps relate stress and strain, especially in situations involving large deformations or complex loading histories. It is a key component in formulating constitutive relations that describe how materials respond to applied forces.1

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mechanics of solids
Inelastic response
…rates are expressed as the Jaumann co-rotational ratesis a derivative following the motion of a material point and where the spin Ω_ij is defined by 2Ω_ij = ∂v_i/∂x_j − ∂v_j/∂x_i. The co-rotational stress rates are those calculated by an observer who spins
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…rates are expressed as the Jaumann co-rotational ratesis a derivative following the motion of a material point and where the spin Ω_ij is defined by 2Ω_ij = ∂v_i/∂x_j − ∂v_j/∂x_i. The co-rotational stress rates are those calculated by an observer who spins
Read More