The wall–frame interaction effect in CLT-steel hybrid systems

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A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding

This is the author's PDF version of an article published in Mathematical Modelling of Natural Phenomena© 2015. The definitive version is available at http://www.mmnp-journal.org/articles/mmnp/abs/2015/06/mmnp2015106p90/mmnp2015106p90.htmlIn the current work we construct a nonlocal mathematical model describing the phase transition occurs during the resistance spot welding process in the industry of metallurgy. We then consider a time discretization scheme for solving the resulting nonlocal moving boundary problem. The scheme consists of solving at each time step a linear elliptic partial differential equation and then making a correction to account for the nonlinearity. The stability and error estimates of the developed scheme are investigated. Finally some numerical results are presented confirming the efficiency of the developed numerical algorithm

On the quenching behaviour of a semilinear wave equation modelling MEMS technology

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version 2015, 35(3), pp. 1009-1037 is available online at: http://dx.doi.org/10.3934/dcds.2015.35.100

Optimal Control of Nonlocal Thermistor Equations

We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e., in studying the heat transfer in the resistor device whose electrical conductivity is strongly dependent on the temperature. Existence of an optimal control is proved. The optimality system consisting of the state system coupled with adjoint equations is derived, together with a characterization of the optimal control. Uniqueness of solution to the optimality system, and therefore the uniqueness of the optimal control, is established. The last part is devoted to numerical simulations.Comment: Submitted 21-March-2012; revised 11-June-2012; accepted 13-June-2012; for publication in the International Journal of Contro

Cost Optimization of Ice Distribution

Two questions regarding minimizing fuel costs while delivering ice along a pre-set route are tackled. The first question is when demand exceeds the load of a single truck, so that a second truck of ice has to be taken to some point of the route for the driver/salesman to continue with that for the rest of the route: Is it better: 1) for the first truck to deliver starting from the costumer nearest to the base, or 2) for the first truck to start the delivery from the last costumer (the most distant from the base)? We show that the second strategy was better for the particular data looked at, and we have the basis of an algorithm for deciding which strategy is the better for a given delivery schedule. The second question concerns how best to modify a regular sales route when an extra delivery has to be made. Again, the basis for an algorithm to decide how to minimize fuel costs is derived

Hernias, aortic surgery and review of the literature of incisional hernias

Ciljevi: Ispitivanje veze između incizijske hernije i operacije abdominalne aorte te općenito proučiti preporuke za prevenciju incizijske hernije. Metode: Provedena je opsežna potraga u Pub-Medu. Koristili smo sljedeće MeSH uvjete; aneurizma abdominalne aorte; incizijska hernija; ingvinalna hernija; incizijska hernija i radiologija, zatvaranje abdominalnih rana, također je korištena „snow-falling“ potraga s navedenim ključnim riječima. Rezultati: Do danas ne postoji jednoglasnost u pogledu odnosa aorte i aortoilijačne patologije te incizijske ili ingvinalne hernije, iako većina studija ukazuje na to da je moguće povećanje učestalosti incizijske hernije nakon operacije na aorti. Zaključak: Kako bismo smanjili mogućnost pojave incizijske hernije, dužina šava u odnosu da dužinu rane morala bi biti više od 4:1. Šavove treba vezati bez pretjeranog zatezivanja te za šivanje treba koristiti materijal koji upija sporo ili ne upija uopće. Koristite šav USP 2/0 na maloj igli. Kao mjesto uboda odaberite aponeurozu samo 5 do 8 mm od ruba rane, u razmaku 4 do 5 mm.Objectives: To study the relation of incisional hernias after abdominal aortic surgery and to study the recommendations for prevention of incisional hernias in general. Methods: An extensive search in Pub-Med was conducted. We used the following MeSH terms; abdominal aortic aneurysm; incisional hernia; inguinal hernia; incisional hernia and radiology, abdominal wound closure, we also did a “snow-falling” search with the above terms. Results: Still today there is not unanimity concerning the relation of aortic or aortoiliac pathology and incisional or inguinal hernias although the majority of studies suggest that there is a possible increase in the prevalence of incisional hernias after aortic surgery. Conclusions: In order to lessen the possibilities of incisional hernias suture length to wound length ration should be more that 4:1. Sutures should be tied without excessive tension and to use either a slowly absorbable or nonabsorbable suture material. Use a suture USP 2/0 mounted on a small needle. Place stitches in the aponeurosis only and 5 to 8mm from the wound edge and 4 to 5 mm apart