An Investigation of the Existence of a Work Potential for Fiber-Reinforced Plastic

Experimental data from axial and torsional deformation tests on inelastic, angle-ply fiber-reinforced plastic laminates and related theory are used to show that mechanical work is independent of path for suitably limited deformation paths, and thus is a potential. First, results from proportional deformation tests are shown to support the existence of a work potential. Domains of path-independence are then established for non- proportional deformation tests of laminates strained well into the range of nonlinear in elastic behavior. Lastly, a study is described in which a work potential-based theory is used to determine critical mixed-mode energy release rates for laminates subjected to axial and torsional deformations. This relatively simple analysis is shown to provide qualitative correlation between fracture surface morphology and calculated energy release rates.

[1]  Richard Schapery,et al.  Viscoelastic Characterization of a Nonlinear Fiber-Reinforced Plastic , 1971 .

[2]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[3]  Mf Hibbs,et al.  Correlations Between Micromechanical Failure Processes and the Delamination Toughness of Graphite/Epoxy Systems , 1987 .

[4]  Richard Schapery,et al.  Deformation and fracture characterization of inelastic composite materials using potentials , 1987 .

[5]  J. Rice Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity , 1971 .

[6]  G. Hartwig Fracture Behavior of Polymers , 1994 .

[7]  M. Gurtin,et al.  Thermodynamics with Internal State Variables , 1967 .

[8]  N. J. Pagano,et al.  Interlaminar Stresses in Composite Laminates Under Uniform Axial Extension , 1970 .

[9]  Richard Schapery,et al.  A theory of mechanical behavior of elastic media with growing damage and other changes in structure , 1990 .

[10]  Rodney Hill,et al.  Elastic potentials and the structure of inelastic constitutive laws , 1973 .

[11]  C. Sun,et al.  A Simple Flow Rule for Characterizing Nonlinear Behavior of Fiber Composites , 1989 .

[12]  Z. Hashin Analysis of Composite Materials—A Survey , 1983 .

[13]  Richard Schapery Correspondence principles and a generalizedJ integral for large deformation and fracture analysis of viscoelastic media , 1984 .

[14]  Richard Schapery,et al.  Simplifications in the Behavior of Viscoelastic Composites with Growing Damage , 1991 .