On the theory of plasticity of anisotropic solids with isotropic and kinematic hardening

Sarbayev, B. S.

doi:10.1016/0927-0256(96)00009-2

Cited by 2 publications

(3 citation statements)

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“…Another numerical example utilizes experimental data obtained from the previous work 8 for the analysis of stress-strain curves of orthotropic fiber reinforced composites under uni-axial tension and shear tests.…”

Section: Example Solutionsmentioning

confidence: 99%

“…The longitudinal (which is usually the fiber direction) and transverse directions coincide with the coordinate system described in Figure 3. The mechanical properties which conform to the characteristics of the unidirectional glass fiber-reinforced composite 8,16 are:…”

Section: Example Solutionsmentioning

confidence: 99%

“…Isupov et al 7 dealt with the micromechanical analysis of plastic deformation processes of metal matrix composites composed of elastic reinforcing elements and the plastic matrix, based on the generalized anisotropic Prager kinematic hardening law. Recently, Sarbayev 8 described the plasticity theory for anisotropic composites utilizing the kinematic hardening of the anisotropic quadratic yield function. However, few of the previous works properly described the Bauschinger and transient behaviors during unloading.…”

Section: Introductionmentioning

confidence: 99%

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Combined Isotropic-Kinematic Hardening Laws with Anisotropic Back-stress Evolution for Orthotropic Fiber-Reinforced Composites

Lee

Kim

Chung

et al. 2004

Polymers and Polymer Composites

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In order to describe the Bauschinger and transient behavior of orthotropic fiber-reinforced composite solids, a combined isotropic-kinematic hardening law based on the non-linear kinematic hardening rule was considered here, in particular, based on the Chaboche type law. In this modified constitutive law, the anisotropic evolution of the back-stress was properly accounted for. Also, to represent the orthotropy of composite materials, Hill's 1948 quadratic yield function and the orthotropic elasticity constitutive equations were utilized. Furthermore, the numerical formulation to update the stresses was also developed based on the incremental deformation theory for the boundary value problems. Numerical examples confirmed that the new law based on the anisotropic evolution of the back-stress complies well with the constitutive behavior of highly anisotropic materials such as fiber-reinforced composites.

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Section: Example Solutionsmentioning

confidence: 99%

Section: Example Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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