We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at critical load via bifurcation analysis. It overcomes the problem of discontinuous deformations without additional field variables, such as damage or phase-field and priori specified surface energy. Our main tool is inverse deformation, which be extended to piecewise ...

the premature breakage in some four cylinder diesel engine crankshafts was reported. all crankshafts were failed from the same region. failures had occurred in the first crankpin, the nearest crankpin to the flywheel. dynamic analysis and finite element modelling were carried out to determine the state of stress in the crankshaft. fem results revealed that the first crankpin fillet is the most ...

assessment of the correlation between rock brittleness and rock fracture toughness has been the subject of extensive research works in the recent years. unfortunately, the brittleness measurement methods have not yet been standardized, and rock fracture toughness cannot be estimated satisfactorily by the proposed indices. in the present study, statistical analyses are performed on some data col...

BACKGROUND There have been reports both supporting and refuting an inverse relationship between hip fracture and hip osteoarthritis (OA). We explore this relationship using a case-control study design. METHODS Exclusion criteria were previous hip fracture (same side or contralateral side), age younger than 60 years, foreign nationality, pathological fracture, rheumatoid arthritis and cases we...

data envelopment analysis (dea) is a nonparametric technique that includes models to evaluate the relative efficiency of decision making units (dmus). it has the ability to separate efficient units and inefficient units. one of the applications of this mathematical technique is evaluating performance of supply chain. according to such as the inefficiency factors of one dmu, is existence congest...