On the stress analysis of cracked bodies by means of finite elements

The work described in this thesis deals with the development and application of a finite element program for the analysis of several cracked structures. In order to simplify the organisation of the material presented herein, the thesis has been subdivided into two Sections : In the first Section the development of a finite element program for the analysis of two-dimensional problems of plane stress or plane strain is described. The element used in this program is the six-mode isoparametric triangular element which permits the accurate modelling of curved boundary surfaces. Various cases of material aniftropy are included in the derivation of the element stiffness properties. A digital computer program is described and examples of its application are presented. In the second Section, on fracture problems, several cracked configurations are analysed by embedding into the finite element mesh a sub-region, containing the singularities and over which an analytic solution is used. The modifications necessary to augment a standard finite element program, such as that developed in Section I, are discussed and complete programs for each cracked configuration are presented. Several examples are included to demonstrate the accuracy and flexibility of the technique.

The application of contact mechanics to the numerical simulation of particulate material

Particulate solids are complex redundant systems which consist of discrete particles. The interactions between the particles are complex and have been the subject of many theoretical and experimental investigations. Invetigations of particulate material have been restricted by the lack of quantitative information on the mechanisms occurring within an assembly. Laboratory experimentation is limited as information on the internal behaviour can only be inferred from measurements on the assembly boundary, or the use of intrusive measuring devices. In addition comparisons between test data are uncertain due to the difficulty in reproducing exact replicas of physical systems. Nevertheless, theoretical and technological advances require more detailed material information. However, numerical simulation affords access to information on every particle and hence the micro-mechanical behaviour within an assembly, and can replicate desired systems. To use a computer program to numerically simulate material behaviour accurately it is necessary to incorporte realistic interaction laws. This research programme used the finite difference simulation program `BALL', developed by Cundall (1971), which employed linear spring force-displacement laws. It was thus necessary to incorporate more realistic interaction laws. Therefore, this research programme was primarily concerned with the implementation of the normal force-displacement law of Hertz (1882) and the tangential force-displacement laws of Mindlin and Deresiewicz (1953). Within this thesis the contact mechanics theories employed in the program are developed and the adaptations which were necessary to incorporate these laws are detailed. Verification of the new contact force-displacement laws was achieved by simulating a quasi-static oblique contact and single particle oblique impact. Applications of the program to the simulation of large assemblies of particles is given, and the problems in undertaking quasi-static shear tests along with the results from two successful shear tests are described.

Volunteering for success:mentoring as a form of student volunteering

Previous studies into student volunteering have shown how formally organized volunteering activities have social, economic and practical benefits for student volunteers and the recipients of their volunteerism (Egerton, 2002; Vernon & Foster, 2002); moreover student volunteering provides the means by which undergraduates are able to acquire and hone transferable skills sought by employers following graduation (Eldridge & Wilson, 2003; Norris et al, 2006). Within the UK Higher Education Sector, a popular mechanism for accessing volunteering is through formally organized student mentoring programmes whereby more ‘senior’ students volunteer to mentor less experienced undergraduates through a particular phase of their academic careers, including the transition from school or college to university. The value of student mentoring as a pedagogical tool within Higher Education is reflected in the literature (see for example, Bargh & Schul, 1980, Hartman,1990, Woodd, 1997). However, from a volunteering perspective, one of the key issues relates to the generally accepted conceptualisation of volunteering as a formally organized activity, that is un-coerced and for which there is no payment (Davis Smith, 1992, 1998; Sheard, 1995). Although the majority of student mentoring programs discussed in the paper are unpaid and voluntary in nature, in a small number of institutions some of the mentoring programs offered to students provide a minimum wage for mentors. From an ethical perspective, such payments may cause difficulties when considering potential mentors’ motivations and reasons for participating in the program. Additionally, institutions usually only have one or two paid mentoring programs running alongside several voluntary programmes – sometimes resulting in an over-subscription for places as paid mentors to the detriment of unpaid programs. Furthermore, from an institutional perspective, student mentoring presents a set of particular ethical problems reflecting issues around ‘matching’ mentors and mentees in terms of gender, race, ethnicity and religion. This is found to be the case in some ‘targeted’ mentoring programs whereby a particular demographic group of students are offered access to mentoring in an attempt to improve their chances of academic success. This paper provides a comparative analysis of the experiences and perceptions of mentors and mentees participating in a wide-range of different mentoring programs. It also analyzes the institutional challenges and benefits associated with managing large scale student volunteering programs. In doing so the paper adds to third sector literature by critiquing the distinctive issues surrounding student volunteering and by discussing, in-depth, the management of large groups of student volunteers. From a public policy perspective, the economic, educational, vocational and social outcomes of student volunteering make this an important subject meriting investigation. Little is known about the mentoring experiences of student volunteers with regards to the ‘added value’ of participating in campus-based volunteering activities. Furthermore, in light of the current economic downturn, by drawing attention to the contribution that student volunteering plays in equipping undergraduates with transferable ‘employability’ related skills and competencies (Andrews & Higson, 2008), this paper makes an important contribution to current educational and political debates. In addition to providing the opportunity for students to acquire key transferable skills, the findings suggest that mentoring encourages students to volunteer in other areas of university and community life. The paper concludes by arguing that student mentoring provides a valuable learning experience for student volunteer mentors and for the student and pupil mentees with whom they are placed.

PSD modifications of FHRV due to CTG storage rate

Cardiotocographic data provide physicians information about foetal development and, through assessment of specific parameters (like accelerations, uterine contractions, ...), permit to assess conditions such as foetal distress. An incorrect evaluation of foetal status can be of course very dangerous. In the last decades, to improve interpretation of cardiotocographic recordings, great interest has been dedicated to FHRV spectral analysis. It is worth reminding that FHR is intrinsically an uneven series and that to obtain evenly sampled series, many commercial cardiotocographs use a zero-order interpolation (storage rate of CTG data equal to 4 Hz). This is not suitable for frequency analyses because interpolation introduces alterations in the FHR power spectrum. In particular, this interpolation process can produce artifacts and an attenuation of the high-frequency components of the PSD that, for example, affects the estimation of the sympatho-vagal balance (SVB - computed as low-frequency/high-frequency ratio), which represents an important clinical parameter. In order to estimate the frequency spectrum alterations due to zero-order interpolation and other CTG storage rates, in this work, we simulated uneven FHR series with set characteristics, their evenly spaced versions (with different storage rates) and computed SVB values by PSD. For PSD estimation, we chose the Lomb method, as suggested by other authors in application to uneven HR series. ©2009 IEEE.

Whole body vibration training:analysis and characterization

The aim of this work is to contribute to the analysis and characterization of training with whole body vibration (WBV) and the resultant neuromuscular response. WBV aims to mechanically activate muscle by eliciting stretch reflexes. Generally, surface electromyography is utilized to assess muscular response elicited by vibrations. However, EMG analysis could potentially bring to erroneous conclusions if not accurately filtered. Tiny and lightweight MEMS accelerometers were found helpful in monitoring muscle motion. Displacements were estimated integrating twice the acceleration data after gravity and small postural subject adjustments contribution removal. Results showed the relevant presence of motion artifacts on EMG recordings, the high correlation between muscle motion and EMG activity and how resonance frequencies and dumping factors depended on subject and his positioning onto the vibrating platform. Stimulations at the resonant frequency maximize muscles lengthening and in turn, muscle spindle solicitation , which may produce more muscle activation. Local mechanical stimulus characterization (Le, muscle motion analysis) could be meaningful in discovering proper muscle stimulation and may contribute to suggest appropriate and effective WBV exercise protocols. ©2009 IEEE.