[1] The Gibraltar Arc in the western Mediterranean consists of the Betic and Rif Alpine chains and the Alboran Sea Basin. Four types of stress indicators (wellbore breakouts, earthquake focal plane mechanisms, young geologic fault slip data, and hydraulic fracture orientations) indicate a regional NW–SE compressive stress field resulting from Africa-Eurasia plate convergence. In some particular...

Soft tissue simulation is very important in medical simulation and learning procedures. But such simulations require intensive computation. With the force feedback devices, the computation required should be much faster as touch sensation is approximately 20 times faster than that of visual. Efficient collision detection techniques are required to quickly locate the touched node of the model an...

Selective electron beam melting (SEBM) was used to process crack-free Ni3Al-based IC21 alloy (low density superalloy) containing ~85% γ′-volume fraction. There are distinct differences between dendrites and inter-dendritic regions with the presence of coarse γ+γ′ eutectic secondary solidification microconstituents (Cr Mo-rich) in latter. The pronounced suggest that a significant elemental parti...

Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This implies the first non-trivial lower bound for the number of Tverberg partitions that holds for arbitrary q, where q is the number of partition blocks. The proofs are based on direct arguments, and do not use the equivaria...

If a1, a2, . . . , ak and n are positive integers such that n = a1+a2+· · ·+ak, then the sum a1 + a2 + · · ·+ ak is said to be a partition of n of length k, and a1, a2, . . . , ak are said to be the parts of the partition. Two partitions that differ only in the order of their parts are considered to be the same partition. Let Pn be the set of partitions of n, and let Pn,k be the set of partitio...

In 2009, Blagojević, Matschke & Ziegler established the first tight colored Tverberg theorem. We develop a colored version of our previous results (2008): Evenness and non-trivial lower bounds for the number of colored Tverberg partitions. Both properties follow from similar results on the number of colored Birch partitions.

[1] Mechanical models examine deformation within eight different structural cross sections proposed by Davis et al. [1989] and Shaw and Suppe [1996] along a northeastsouthwest transect across the Los Angeles Basin, California. Horizontal contraction of the models, constrained by geodetic measurements, yields varying dip-slip rates along frictionally sliding faults within the different cross sec...

6 [1] We examine the work energy budget of actively deforming fault systems in order to 7 develop a means of examining the systemic behavior of complex fault networks. Work 8 done in the deformation of a faulted area consists of five components: (1) work done 9 against gravity in uplift of topography (Wgrav); (2) internal energy of the strained host rock 10 (Wint); (3) work done resisting frict...