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A relation to describe rate-dependent material failure.

Science (New York, N.Y.)

|January 13, 1989

Summary

A simple material failure equation, OmegaOmega-alpha = 0, accurately predicts the time to failure for various materials under constant or variable stress conditions.

Area of Science:

Materials Science
Solid Mechanics
Engineering

Background:

Material failure behavior is critical in engineering design.
Predicting material lifespan under stress is essential for safety and reliability.

Purpose of the Study:

To introduce and validate a simple empirical relation for material failure.
To demonstrate the broad applicability of this relation across diverse material types.
To extend the relation for predicting time to failure under complex stress conditions.

Main Methods:

Utilizing the OmegaOmega-alpha = 0 equation, where Omega represents a measurable quantity like strain.
Applying empirical constants A and alpha to model material behavior.
Extending the model to variable and multiaxial stress states.

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Main Results:

The OmegaOmega-alpha = 0 relation effectively describes terminal failure stages in materials.
The equation is applicable to a wide range of materials including metals, polymers, concrete, and rock.
The relation successfully predicts time to failure under various stress conditions.

Conclusions:

The OmegaOmega-alpha = 0 equation provides a universal approach to understanding material failure.
This model offers a valuable tool for predicting material lifespan and ensuring structural integrity.
The simplicity and broad applicability make it a significant finding in materials science.