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Mechanism-based strain gradient plasticity. I: Theory. (English) Zbl 0982.74013
Non uniform strain experiments as twisting of thin wires, bending of thin beams, and micro- or nano-indentation show a strong increase in strength with increasing strain gradient. In order to mathematically describe these findings, the authors formulate mechanism-based strain gradient plasticity. They consider microscale variables and mesoscale variables which are linked by equality of plastic works. Further postulates concerning the microscale are the Taylor hardening model for flow stress and conventional plasticity as normality. With this clearly written paper the authors contribute to filling the gap between solid state physics and continuum mechanics.
Reviewer: Udo Gamer (Wien)

MSC:
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74A60 Micromechanical theories
74K99 Thin bodies, structures
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