Sentence examples for basis of the continuum from inspiring English sources

The results of finite element simulations of the specimen offer an explanation for the directional dependence of fracture on the basis of the continuum crack tip fields.

It is well known that the geometric basis of the continuum slip theory is a multiplicative decomposition of the deformation gradient (F) into a plastic part, solely due to crystalline slip on given crystallographic planes (F p ), and a remaining part (F ∗), say elastic part, that describes elastic distortions of the lattice and rigid rotations ( Conti and Hackl 2015).

In addition, it is also found that the theoretical solution (on the basis of the continuum disclination dipoles model) of the pre-stress field created by the S W defect is also different with that determined from MM simulations, which is different from the results of the aligned 7-5 defects of graphene.

Owing to the rejection of this principle and the disappearance of the logical basis for the continuum, one might, in the words of Brouwer, "fear that intuitionistic mathematics must necessarily be poor and anaemic, and in particular would have no place for analysis" (Brouwer 1952, 142).

Linkages between the formal and informal sector, if formalised and supported, can provide a strong basis for the continuum of HIV care [ 28, 29].

Participants are reviewed at the end of the intervention and scored on the basis of this continuum of possible outcomes.

The size-dependent FG nanobeam is investigated on the basis of the nonlocal continuum model.

In this paper, the size-dependent static-buckling behavior of functionally graded (FG) nanobeams is investigated on the basis of the nonlocal continuum model.

Firstly, the governing equations of motion for the prestressed piezoelectric media are derived on the basis of the nonlinear continuum mechanics.

The FG nanobeam is investigated on the basis of the nonlocal Eringen continuum model.

Finally, the results are discussed on the basis of the breakdown of continuum fracture mechanics at the nanoscale.