Mechanics of Strain Gradient Materials

Albrecht Bertram, Samuel Forest (Herausgeber)

Buch | Hardcover

VIII, 171 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-43829-6 (ISBN)

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Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.

The Experimental Evidence for Higher Gradient Theories.- Balance Laws for Gradient Materials.- Strain Gradient Elasticity: From Capillarity to the Mechanics of Nano-Objects.- Microscopic interpretation of strain-gradient and generalized continuum models.- Strain Gradient Plasticity: Theory and Implementation.- Finite Gradient Elasticity and Plasticity.

Erscheinungsdatum	02.07.2020
Reihe/Serie	CISM International Centre for Mechanical Sciences
Zusatzinfo	VIII, 171 p. 52 illus., 39 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	427 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Technik ► Bauwesen
	Technik ► Maschinenbau
Schlagworte	disclocation density tensor • gradient materials • Gradient Plasticity • lattice structures • non-local mechanics • strain gradient
ISBN-10	3-030-43829-5 / 3030438295
ISBN-13	978-3-030-43829-6 / 9783030438296
Zustand	Neuware