Development of an Advanced Continuum Theory for Composite Laminates. Volume 1
Final rept. 1 Jan 1991-31 Dec 1993
BERKELEY APPLIED SCIENCE AND ENGINEERING INC SAN FRANCISCO CA
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A continuum theory with a micro-macro structure was developed for composite laminates that satisfies the traction and displacement continuity requirements at interfaces. The interlaminar stresses were included in the model in a natural way and without any ad hoc assumptions. The built-in micro- structure of the continuum model can account for the effects of curvature and geometric nonlinearity. A set of constitutive relations in terms of material properties of individual constituents was developed which is capable of modeling fiber orientation and stacking sequence. The theory was further expanded to include the effects of temperature where a set of coupled thermo-mechanical field equations with corresponding constitutive relations were derived. Development of the theory for cylindrical and spherical geometries was completed and wave motions in flat and curved geometries was studied. A layerwise shear- deformable multi-director C0 finite element formulation for the theory was developed which accounts for 3-D effects, allows thickness variation, and permits the warping of the deformed normal, while satisfying all continuity requirements. Composite laminates, Thick sections, Micro-structure, Interlaminar stress, Thermo-mechanical, Layerwise, Multi-director, Finite element.
- Physical Chemistry
- Laminates and Composite Materials
- Numerical Mathematics