Constructing Yield Loci for Rigid-Plastic Reinforced Plates Considering the 2D Stress State in Fibers

Modeling the dynamic bending of rigid-plastic fiber-reinforced laminated curvilinear doubly connected thin plates with free outer contour

“…For the type of reinforcement considered, the limit linear bending moments M 01 and M 02 , normal and tangential to the plate contour L 1 , are (according to the structural model of a reinforced layer taking into account the plane stress state in fibers [20])…”

“…In Romanova and. Yankovskii [20] the models of unidirectionally and orthogonally fiber-reinforced rigid-plastic media of a regular periodic structure allowing one to determine the yield loci for these composites are constructed considering the plane stress state in fibers. In Wang et al [21], within the framework of the rigid-plastic body model the limit load of circular sandwich panels with foam aluminum filler under the action of quasi-static local load is estimated.…”

“…A technique to examine the dynamic bending of such plates is developed. It is based on a rigid-plastic analysis in a geometrically linear formulation with the use of the structural model of a reinforced layer taking into account the plane stress state in fibers [20]. It is assumed that the mechanical characteristics of the materials included in the layer package are commensurate (differ no more than by one order of magnitude).…”

Yield Loci of Reinforced Plates Made from Rigid-Plastic Unequiresistant Materials Considering the Two-Dimensional Stress State in Fibers I. Unidirectional Reinforcement

“…In the plane Ox x 2 3 , perpendicular to the direction of fibers, the structure of reinforcement is biperiodic, and the axes Ox 2 and Ox 3 are parallel to the periodicity directions of the structure. We assume, as in [30], that the fibers have rectangular cross sections [31] with their sides directed along the axes Ox 2 and Ox 3 .…”

“…In this case, there naturally arises the question how to construct yield loci (surfaces) for fibrous media with account of the complex stress state in the reinforcement. In the case where the rigid-plastic components of a composition equally resist to the tension and compression and obeys the Tresca yield criterion, this problem is considered in [30], and it is shown that there are compositions for which some model variants with a one-dimensional state in fibers considerably underestimate the calculated yield stresses of composition in directions orthogonal to the stacking of fibers.…”