Abstract This study develops a new phenomenological constitutive model to capture the unique evolving cyclic elastoplastic behaviours of hexagonal close-packed (HCP) sheet metals. is developed by adopting concepts multiple-yield surface approaches. Four deformation modes, including Monotonic Compression (MC), Tension (MT), Reverse (RC), and (RT), are considered represent hardening evolution mat...

In this paper we study the problem of the approximation in law of the fractional Brownian sheet in the topology of the anisotropic Besov spaces. We prove the convergence in law of two families of processes to the fractional Brownian sheet: the first family is constructed from a Poisson procces in the plane and the second family is defined by the partial sums of two sequences of real independent...

An anisotropic plasticity model is developed based on the non-associated flow rule with hardening. The combines non-quadratic yield function and quadratic plastic potential for orthogonal sheet metals. also expanded to properly reproduce cyclic effect during forming processes. simple formulations can contribute cost saving in parameter acquisition process implementation. was implemented into fi...

We present a detailed discussion of both theoretical and experimental evidence in favour of the existence of states of “confined coherence” in metals of sufficiently high anisotropy and with sufficiently strong correlations. The defining property of such a state is that single electron coherence is confined to lower dimensional subspaces (planes or chains) so that it is impossible to observe in...

Abstract Anisotropy plays a significant role in engineering, especially the field of sheet metal forming. This particular characteristic stems mainly from crystallographic structure metals and influence rolling process, inducing preferred orientations grains. In this context, crystal plasticity theory an important as it accounts for anisotropic nature elastic tensor orientation dependencies def...

rupture and wrinkling are two prevalent phenomena that happen in hydro-forming process. many efforts have been made to achieve the upper and lower bounds for the pressure related to rupture and wrinkling of sheet, respectively. the aim of this investigation is to improve the upper bound of fluid pressure in hydro-forming process by hemispherical punch. in this article, analytical study of the u...

In this work, an inverse finite element formulation was modified for considering material anisotropy in obtaining blank shape and forming severity of deep drawn orthotropic parts. In this procedure, geometry of final part and thickness of initial blank sheet were known. After applying ideal forming formulations between material points of initial blank and final shape, an equation system was obt...