A strain gradient elasticity theory with independent length scale parameters

Abstract eng:
A general isotropic strain gradient theory with independent material length-scale parameters (MLSPs) is presented that differs from the established models. The strain gradient theory is reformulated by introducing two different orthogonal decompositions of higherorder metrics to characterize strain gradient behaviors. Just by reformulating constitutive relations, no extra conditions needed, the number of independent MLSPs is theoretically proved to be only three for isotropic linear elastic materials. The new theory can be directly reduced to the established models when some of the components of strain gradients are ignored. The analytically solutions of several simple problems reveal the availability of the present theory with independent multi-MLSPs to describe size effects in microstructures.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket