Richard M. Christensen
Brief Biography

Governing Equations

The failure criteria for isotropic materials are given by Eqs. (8)-(10) of Section II. When specialized to principal stresses they become

and if

the fracture criteria also apply

Failure Surface Graphics

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Failure Characterization

Key Junctures

General Matters

Is It Stress or Strain

The First Failure Criterion

A Basic Failure Mechanism

Can Atomic/Nano Scale
Failure Events Predict
Macroscopic Failure

The Ductile-Brittle Problem

Failure Theory Applications

Damage

Looking Ahead

The Brittle Limit

How Do Mises & Tresca Fit In

Acknowledgment

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Richard M. Christensen