6533b7d9fe1ef96bd126bfd6

RESEARCH PRODUCT

Elastic Deformation of Dispersely Failing Unidirectionally Reinforced Composites

A. ZilaucsA. Lagzdins

subject

Unit sphereMaterials sciencePolymers and PlasticsGeneral MathematicsComposite numberFibre-reinforced plasticCondensed Matter PhysicsBiomaterialsMechanics of MaterialsTransverse isotropySolid mechanicsPhenomenological modelCeramics and CompositesDeformation (engineering)Composite materialScalar field

description

A phenomenological model is proposed for describing the elastic deformation of a unidirectionally reinforced composite capable of accumulating scattered microdamages during its loading. The composite is considered as a homogeneous transversely isotropic solid. Its damaged state at every point is characterized by a centrally symmetric scalar function on the unit sphere (the damage function), which is used to account for variations in the elastic properties of the material during its deformation. The damage itself depends on the history of some equivalent strain, for which four simplified variants are suggested. The relation between strains and stresses is defined in a differential form. Dependences are presented for determining all unknown constants from simple mechanical experiments. As an example, an actual unidirectionally reinforced GFRP is considered, for which the main two-dimensional sections of corresponding failure surfaces are also constructed.

https://doi.org/10.1023/b:mocm.0000010619.75271.3c