A common belief in phenomenological strain gradient plasticity modeling is that including the of scalar variables constitutive setting leads to size-dependent isotropic hardening, whereas second-order tensors induces kinematic hardening. The present paper shows it also possible produce hardening using scalar-based theory. For this purpose, a new model involving equivalent plastic developed and ...

the consolidation test method proposed by terzaghi and used in most soil mechanic laboratories has limitations and weaknesses. to get correct results, improvement and modification of the test method is essential. several experimental methods, such as constant loading rate, gradient and constant rate of strain (crs) have been used over the past 40 years. of these methods, crs is more advantageou...

This numerical study examines the stirring properties of a 2D flow field with a specific focus on the alignment dynamics of tracer gradient vectors. In accordance with the study of Hua and Klein [Physica D 113 (1998) 98], our approach involves the full second order Lagrangian dynamics and in particular the second order in time equation for the tracer gradient norm. If the physical space is part...

The general relativistic theory of elasticity is reviewed from a Lagrangian, as opposed to Eulerian, perspective. equations motion and stress-energy-momentum tensor for hyperelastic body are derived the gauge-invariant action principle first considered by DeWitt. This natural extension single particle. central object in Lagrangian treatment Landau-Lifshitz radar metric, which version right Cauc...

the stability of learning rate in neural network identifiers and controllers is one of the challenging issues which attracts great interest from researchers of neural networks. this paper suggests adaptive gradient descent algorithm with stable learning laws for modified dynamic neural network (mdnn) and studies the stability of this algorithm. also, stable learning algorithm for parameters of ...