The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include the square or Manhattan power pad arrangement, which currently predominates, as well as equilateral triangular and hexagonal arrangements. In agreement with the findings in the literature and with physical and SPICE models, the equilateral triangular power pad arrangement is found to minimize the maximum voltage drop. This headline finding is a consequence of relatively simple formulas for the voltage drop, with explicit error bounds, which are established using complex analysis techniques, and elliptic functions in particular.

Desordre i discriminació

La discriminació en totes les seves vessants per motiu de gènere, ètnia, creença, llengua, tendència sexual, etc. és una xacra social. Segons una informació de fa dues setmanes, l'any 2010 els Mossos van recollir 171 denúncies per discriminació, les quals només representen la punta de l'iceberg, atès que segons el fiscal especial d'odi i discriminació a Barcelona el 94% no es denuncien. Hi ha nombrosos treballs sociològics que apunten motius molt diversos com a origen d'aquestes actituds exclusió social, conflictivitat laboral, recessió econòmica, por i inseguretat personal, etc. Un enginyós estudi publicat a Science n'aporta un altre: el desordre físic.

A Practical Micro Mechanical Model Based Local Approach Methodology for the Analysis of Ductile Fracture of Welded T-Joints

This thesis concentrates on developing a practical local approach methodology based on micro mechanical models for the analysis of ductile fracture of welded joints. Two major problems involved in the local approach, namely the dilational constitutive relation reflecting the softening behaviour of material, and the failure criterion associated with the constitutive equation, have been studied in detail. Firstly, considerable efforts were made on the numerical integration and computer implementation for the non trivial dilational Gurson Tvergaard model. Considering the weaknesses of the widely used Euler forward integration algorithms, a family of generalized mid point algorithms is proposed for the Gurson Tvergaard model. Correspondingly, based on the decomposition of stresses into hydrostatic and deviatoric parts, an explicit seven parameter expression for the consistent tangent moduli of the algorithms is presented. This explicit formula avoids any matrix inversion during numerical iteration and thus greatly facilitates the computer implementation of the algorithms and increase the efficiency of the code. The accuracy of the proposed algorithms and other conventional algorithms has been assessed in a systematic manner in order to highlight the best algorithm for this study. The accurate and efficient performance of present finite element implementation of the proposed algorithms has been demonstrated by various numerical examples. It has been found that the true mid point algorithm (a = 0.5) is the most accurate one when the deviatoric strain increment is radial to the yield surface and it is very important to use the consistent tangent moduli in the Newton iteration procedure. Secondly, an assessment of the consistency of current local failure criteria for ductile fracture, the critical void growth criterion, the constant critical void volume fraction criterion and Thomason's plastic limit load failure criterion, has been made. Significant differences in the predictions of ductility by the three criteria were found. By assuming the void grows spherically and using the void volume fraction from the Gurson Tvergaard model to calculate the current void matrix geometry, Thomason's failure criterion has been modified and a new failure criterion for the Gurson Tvergaard model is presented. Comparison with Koplik and Needleman's finite element results shows that the new failure criterion is fairly accurate indeed. A novel feature of the new failure criterion is that a mechanism for void coalescence is incorporated into the constitutive model. Hence the material failure is a natural result of the development of macroscopic plastic flow and the microscopic internal necking mechanism. By the new failure criterion, the critical void volume fraction is not a material constant and the initial void volume fraction and/or void nucleation parameters essentially control the material failure. This feature is very desirable and makes the numerical calibration of void nucleation parameters(s) possible and physically sound. Thirdly, a local approach methodology based on the above two major contributions has been built up in ABAQUS via the user material subroutine UMAT and applied to welded T joints. By using the void nucleation parameters calibrated from simple smooth and notched specimens, it was found that the fracture behaviour of the welded T joints can be well predicted using present methodology. This application has shown how the damage parameters of both base material and heat affected zone (HAZ) material can be obtained in a step by step manner and how useful and capable the local approach methodology is in the analysis of fracture behaviour and crack development as well as structural integrity assessment of practical problems where non homogeneous materials are involved. Finally, a procedure for the possible engineering application of the present methodology is suggested and discussed.

Minimum-uncertaity states and pseudoclassical dynamics. II

The set of initial conditions for which the pseudoclassical evolution algorithm (and minimality conservation) is verified for Hamiltonians of degrees N (N>2) is explicitly determined through a class of restrictions for the corresponding classical trajectories, and it is proved to be at most denumerable. Thus these algorithms are verified if and only if the system is quadratic except for a set of measure zero. The possibility of time-dependent a-equivalence classes is studied and its physical interpretation is presented. The implied equivalence of the pseudoclassical and Ehrenfest algorithms and their relationship with minimality conservation is discussed in detail. Also, the explicit derivation of the general unitary operator which linearly transforms minimum-uncertainty states leads to the derivation, among others, of operators with a general geometrical interpretation in phase space, such as rotations (parity, Fourier).

Teollisuusvaihteen kokoonpanoprosessin laadun parantaminen

Paperikoneen telalle integroitujen mekaanisten käyttölaitteiden valmistuksen siirtoprojektin yhteydessä on raportoitu huomattavan paljon valmistuksen aikaisia poikkeamia. Poikkeamien juurisyyn hahmottamiseksi tehtiin kvantitatiivinen analyysi raportoiduista poikkeamista ja kvalitatiivinen analyysi kokoonpanon nykytilasta. Kokoonpanotyöstä suuri osa on tällä hetkellä arvoa jalostamatonta työtä. Tutkimuksessa havaittiin valmistusprosessissa kaikkia kokoonpanon poikkeamien perustyyppejä ja näitä poikkeamia olivat aiheuttaneet kaikki mahdolliset aiheuttajat. Etenkin hankittavien osien laatua tulisi käsitellä poikkeamien aiheuttamien kokonaiskustannusten kautta. Kokoonpanon tarvitsema tieto on olemassa täsmällisessä muodossa, mutta sen luoksepäästävyys on huono. Prosessin kuvauksella, hiljaisen tiedon kirjaamisella ja täsmällisen tiedon julkistamisella voidaan parantaa tuotannon laatua tuotetuntemuksen parantuessa. Käyttökohteen tunteminen parantaa vaatimusten ymmärtämistä. Tutkimuksessa havaittujen poikkeamien analysoinnin perusteella erityistä huomiota tulisi kiinnittää tarkastusvaiheiden olemassa oloon, sijoitukseen ja niiden laatuun. Suuri osa poikkeamista oli edennyt kokoonpanoon jonkin tarkastusvaiheen läpi. Tarkastusvaiheiden laatutason tulee parantua, jotta moninkertaisesta tarkastuksesta voidaan luopua.

El carácter fronterizo de las identidades contemporáneas: el caso de Chiapas

The thesis or hypothesis of this paper is that the multiple connections of explicit andimplicit life styles foster the construction of hybrid, multiple or complex identities. Wemean by hybrid identities the confluence of multiple identifications in the personalbiography. If the globalization and cultural diversity are the fundamental forms ofglobal life, the mobility is its principal ingredient. We describe different cultural traitsin Chiapas. Internet, migration to United States, or the North American Free TradeAgreement (NAFTA), between North America, Canada, and Mexico, were hybridizedwith the heterogeneity of identity (ethnic, linguistic, and religious). It is discussed thesocial and political consequences of the hybrid contemporary societies

La regió de Girona: un model territorial en transformació, amb potencial i fràgil

During the most recent years the Regió de Girona has clearly transformed its territorial model, superimposing an emerging clearly hierarchic structure to a polycentric one. This way, Girona and its urban area has gained a diversified centrality. This transformation, though, needs a clearly defined project that, adapted to the current dynamism, makes explicit and supports or corrects the resultant territorial model in order to avoid infrastructural shortages, territorial imbalances, resource wasting and negative impact on the environment