Abaqus Analysis User's Manual Vol 2

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Damage initiation refers to the onset of degradation at a material point. In ABAQUS the damage initiation criteria for fiber reinforced composites are based on Hashin's theory (see Hashin and Rotem, 1973, and Hashin, 1980). These criteria consider four different damage initiation mechanisms: fiber tension, fiber compression, matrix tension, and matrix compression.

ABAQUS Analysis User's Manual 18.2.10 Cast iron plasticity. Products: ABAQUS/Standard ABAQUS/CAE. A consequence of the above choice is that plastic flow results in inelastic volume expansion in the tensile region and no inelastic volume change in the compressive region. Abaqus Example Problems Manual Volume I are Test 1-direction 2-direction 1.1.2 of the Abaqus Analysis User's Manual).5 mm thick and made up of the same Mooney ABAQUS Analysis User's Manual the contour integral can be expanded into an area integral in two dimensions or a volume. Abaqus Analysis User's Manual Vol 3 See “Defining reinforcement,” Section 2.2.3, for more information regarding point area, for solid elements we use the cube root of the integration point volume. Abaqus Analysis User Manual Volume 2 1, 2 at midside nodes of second-order elements in Abaqus/Standard. 1, 2, 11 at Distributed load magnitudes are per unit area or per unit volume. Introduction to fatigue An early example of testing to determine the fatigue strength of a component was reported by W.A.J. Albert in 1838. He investigated the fatigue failure of chains used to haul trucks in mine shafts (Ref 1.1).

The initiation criteria have the following general forms:

ABAQUS Analysis User's Manual 18.2.9 Porous metal plasticity. Is defined as the ratio of the volume of solid material to the total volume of the material.

Fiber tension :

Fiber compression :

Matrix tension :

Matrix compression :

In the above equations

denotes compressive strength in the fiber direction;

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denotes tensile strength in the direction perpendicular to the fibers;

denotes compressive strength in the direction perpendicular to the fibers;

is a coefficient that determines the contribution of the shear stress to the fiber tensile initiation criterion; and

are components of the effective stress tensor, , that is used to evaluate the initiation criteria and which is computed from:

where is the nominal stress and is the damage operator:, , and are internal (damage) variables that characterize fiber, matrix, and shear damage, which are derived from damage variables , , , and , corresponding to the four modes previously discussed, as follows:

Prior to any damage initiation and evolution the damage operator, , is equal to the identity matrix, so . Once damage initiation and evolution has occurred for at least one mode, the damage operator becomes significant in the criteria for damage initiation of other modes (see Damage evolution and element removal for fiber-reinforced composites, Section 19.3.3, for discussion of damage evolution). The effective stress, , is intended to represent the stress acting over the damaged area that effectively resists the internal forces.

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The initiation criteria presented above can be specialized to obtain the model proposed in Hashin and Rotem (1973) by setting and or the model proposed in Hashin (1980) by setting .

Abaqus Analysis User's Manual Vol 2 3

An output variable is associated with each initiation criterion (fiber tension, fiber compression, matrix tension, matrix compression) to indicate whether the criterion has been met. A value of 1.0 or higher indicates that the initiation criterion has been met (see “Output” for further details). If you define a damage initiation model without defining an associated evolution law, the initiation criteria will affect only output. Thus, you can use these criteria to evaluate the propensity of the material to undergo damage without modeling the damage process.

Input File Usage: Use the following option to define the Hashin damage initiation criterion:

Abaqus Analysis User's Manual Vol 2 Download


ABAQUS/CAE Usage: Property module: material editor: MechanicalDamage for Fiber-Reinforced CompositesHashin Damage

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