Failurecriteria& Failure modes

Failure criteria & Failure modes1 Strength of orthotropic laminaThe strength is defined by 5 quantitiesThtthitliththdi tiThe strengthvaries stronglywiththe directionThe Failure analysis is always donein the (L,T) frame21. Maximum stress theoryThe Failure occurs if one of the stresses in the naturalaxes (L,T) exceeds the corresponding allowable avoid Failure , the material must satisfy the followingIlitiInequalities:In compression:Assumes that the Failure modes are independent !3 Example: Glass epoxy composite With the normalized properties: Lscale !! ogarithmicL LTLo TT42. Maximum strain theoryyThe Failure occurs if one of the strainsin the naturalaxes (L,T) exceeds the corresponding avoidfailure, the materialmust satisfythe followingInequalities:In compressionIf the material is elasticlinear until Failure , 5 Comparison Maximum stress theory Maximum strain theoryMaximum stress criterionMaximum strain criterionIn stress space6 Expressing the maximum strain criterion in stress space:7 Maximum stresscriterionMaximum strain theory:The Failure occurs if one of the following inequalities holds:PoissoneffectPoisson effect>>L>LTThe maximum stress theoryand the maximum strain theoryyIgnore the interact

2. Maximum strain theory The failureoccurs if one of the strains in the natural axes (L,T) exceedsthe corresponding allowable strain. To avoid failure, the materialmust satisfy the following

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  Dome, Failure, Failure mode

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