Constitutive model for municipal solid waste incorporating mechanical creep and biodegradation-induced compression

A constitutive model is proposed to describe the stress-strain behavior of municipal solid waste (MSW) under loading using the critical state soil mechanics framework. The modified cam clay model is extended to incorporate the effects of mechanical creep and time dependent biodegradation to calculate total compression under loading. Model parameters are evaluated based on one-dimensional compression and triaxial consolidated undrained test series conducted on three types of MSW: (a) fresh MSW obtained from working phase of a landfill, (b) landfilled waste retrieved from a landfill after 1.5 years of degradation, and (c) synthetic MSW with controlled composition. The model captures the stress-strain and pore water pressure response of these three types of MSW adequately. The model is useful for assessing the deformation and stability of landfills and any post-closure development structures located on landfills.

Dynamics of loop formation in a semiflexible polymer

The dynamics of loop formation by linear polymer chains has been a topic of several theoretical and experimental studies. Formation of loops and their opening are key processes in many important biological processes. Loop formation in flexible chains has been extensively studied by many groups. However, in the more realistic case of semiflexible polymers, not much results are available. In a recent study [K. P. Santo and K. L. Sebastian, Phys. Rev. E 73, 031923 (2006)], we investigated opening dynamics of semiflexible loops in the short chain limit and presented results for opening rates as a function of the length of the chain. We presented an approximate model for a semiflexible polymer in the rod limit based on a semiclassical expansion of the bending energy of the chain. The model provided an easy way to describe the dynamics. In this paper, using this model, we investigate the reverse process, i.e., the loop formation dynamics of a semiflexible polymer chain by describing the process as a diffusion-controlled reaction. We make use of the ``closure approximation'' of Wilemski and Fixman [G. Wilemski and M. Fixman, J. Chem. Phys. 60, 878 (1974)], in which a sink function is used to represent the reaction. We perform a detailed multidimensional analysis of the problem and calculate closing times for a semiflexible chain. We show that for short chains, the loop formation time tau decreases with the contour length of the polymer. But for longer chains, it increases with length obeying a power law and so it has a minimum at an intermediate length. In terms of dimensionless variables, the closing time is found to be given by tau similar to L-n exp(const/L), where n=4.5-6. The minimum loop formation time occurs at a length L-m of about 2.2-2.4. These are, indeed, the results that are physically expected, but a multidimensional analysis leading to these results does not seem to exist in the literature so far.

Juvenile rheumatoid knee : Management of knee growth disturbances in children with juvenile idiopathic arthritis

Juvenile idiopathic arthritis (JIA) is associated with growth disturbances, especially leg length discrepancy (LLD) and knee valgus deformity (KVD). Studies have demonstrated growth plate stimulation with chronic arthritis. In the context of surgical treatment of LLD or KVD of a growing knee, the less invasive procedures, which allow immediate mobilisation, are preferred. Establishment of the skeletal age and the correction potential in the knees of rheumatic children is difficult due to rheumatic changes. In this present work, an analysis of the efficacy, safety and long-term results of temporary epiphyseal arrests performed in Rheumatism Foundation Hospital (Heinola, Finland). The distribution of diagnoses among children (n=71) with JIA and LLD (68 knees) was consistent with the normal oligoarthritis-predominated population of children with JIA. A higher male:female ratio (1:1.7 vs. 1:2.4 in population-based studies (PBS)) and earlier mean onset age (4 vs. 7 years in PBSs) were, however, distinct features in the study population. In most cases the correction was reliable and temporary arrest produced a mean correction of 1mm per month. The time of arrest required, however, varied significantly, probably due to the effect of underlying diseases and medication, and the age of the child. All complications encountered (10%) were minor. The correction achieved persisted in long-term follow-up. KVD (n=112, 177 knees) was associated with a high proportion of polyarthritic disease subtype (45% vs. 12-31% in PBSs), and the male:female distribution was grossly female-dominated (1:4.9 vs. 1:2.4 in PBSs). The early mean onset age (3 vs. 7 years in PBSs) was also notable in this cohort. Successful correction was achieved in 2/3 cases and the mean angular correction was 0.7 degrees per month. The required time of arrest, however, varied considerably. In 13% of knees the paucity of follow-up visits resulted in over-correction to varus. The complication rate (3%) in the knees operated for KVD was considerably lower compared to ten per cent in the management of LLD. Most of the complications related to epiphyseal stapling were reversible. However, the risk of premature closure of growth plates does exist. The number of over-corrections was notably high, with 13% knees turning to varus. The correction achieved persisted in long-term follow-up.