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The stresses are updated in a material frame.
We present a material frame formulation analogous to the spatial frame formulation developed by Hardy, whereby expressions for continuum mechanical variables such as stress and heat flux are derived from atomic-scale quantities intrinsic to molecular simulation.
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The applicability of the bending model to both fiber architectures is guaranteed by introducing either an orthogonal or a non-orthogonal fiber parallel material frame.
The electric potential difference creates an electric field, E i in V/m eter), leading to an electric current, in A mpere)/m2, measured on the material frame.
The notion of constitutive frame invariance (CFI) is introduced as geometric correction to the formulation of material frame indifference (MFI).
Cohesive zone models based on classical interface-type formulations at finite deformations are subjected to fundamental physical principles such as thermodynamical consistency, balance equations and material frame indifference.
We derive expressions for the first Piola Kirchhoff (P K) stress tensor and the material frame heat flux vector directly from the momentum and energy balances using localization functions in a reference configuration.
It is form invariant under translation and rotation, and obeys the principle of material frame indifference (i.e. the observed phenomena are independent of the inertial frame in which they are observed).
(Fight violence with violence? If so, what kind?) It's fascinating, relevant material, framed with urbane glamour.
Her narrow frame contorted and splayed, more creature than human, as she grabbed at the long shafts of plant material framing her actions.
In this paper, we discuss the importance of the Principle of Material Frame-Indifference, sometimes referred to as Objectivity, in multiphase flows.
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