document: On a general constitutive description for the inelastic and failure behavior of fibrous laminates . I. Lamina theory It is well known that a structural design with isotropic materials can only be accomplished based on a stress failure criterion . This is , however , generally not true with laminated composites . Only when the laminate is subjected to an in-plane load , can the ultimate failure of the laminate correspond to its last-ply failure , and hence a stress failure criterion may be sufficient to detect the maximum load that can be sustained by the laminate . Even in such a case , the load shared by each lamina in the laminate can not be correctly determined if the lamina instantaneous stiffness matrix is inaccurately provided , since the lamina is always statically indeterminate in the laminate . If , however , the laminate is subjected to a lateral load , its ultimate failure occurs before last-ply failure and use of the stress failure criterion is no longer sufficient ; an additional critical deflection or curvature condition must also be employed . This necessitates development of an efficient constitutive relationship for laminated composites in order that the laminate strains/deflections up to ultimate failure can be accurately calculated . A general constitutive description for the thermomechanical response of a fibrous laminate up to ultimate failure with applications to various fibrous laminates is presented in the two papers . The constitutive relationship is obtained by combining classical lamination theory with a recently developed bridging micromechanics model , through a layer-by-layer analysis . This paper focuses on lamina analysis
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