Material model for the analysis of reinforced concrete surface structures

A material model for the analysis of reinforced concrete surface structures is developed. The constitutive model employs the smeared crack concept, i.e. only average stresses are considered at an integration point. While uncracked concrete is modelled with a plasticity approach, the paper focuses on the numerical treatment of cracked reinforced concrete in a state of plane stress. Special attention is given to the modelling of the tension stiffening effect, the re-orientation of the principal tensile strain direction and the compressive strength of cracked concrete. The material model has been implemented in the finite element program SEGNID and tested extensively. Here the comparisons of calculated and experimentally measured results on reinforced concrete surface structures-several panels, a plate subjected to torsion and a free-formed shell-are presented.List of symbols d bar diameter - D stiffness matrix - D _c stiffness matrix of concrete - D _s stiffness matrix of reinforcement - D rotational stiffness matrix - f stress - f _c stresses in concrete - f _c1 tensile stress in concrete - f _c2 compressive stress in concrete - f _c2,min concrete compressive strength - f _c cylinder crushing strength - f _s stresses in reinforcement - f _t concrete tensile strength - f _y yield strength of reinforcement - f ₁ applied principal tensile stress - f ₂ applied principal compressive stress - F tension force - F _y yield force - l length - M moment - Q dowel resistance - r _xy vector of unbalanced stresses - s applied load - s applied stress vector - T ₁, T ₂ transformation matrices - w crack width - x, y reference coordinate system - 1, 2 crack oriented coordinate system - curvature - _xy incremental strain in the reference coordinate system Extended version of the contribution Two-dimensional FE-analysis of reinforced concrete membrane elements to the International Conference on Computational Engineering Science, Atlanta, April 10–14, 1988, presented by the second named author     

Algorithms to Compute Minimum Cycle Basis in Directed Graphs

We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. In this problem a {-1,0,1} incidence vector is associated with each cycle and the vector space over generated by these vectors is the cycle space of G. A set of cycles is called a cycle basis of G if it forms a basis for its cycle space. A cycle basis where the sum of weights of the cycles is minimum is called a minimum cycle basis of G. This paper presents an algorithm, which is the first polynomial-time algorithm for computing a minimum cycle basis in G. We then improve it to an algorithm. The problem of computing a minimum cycle basis in an undirected graph has been well studied. In this problem a {0,1} incidence vector is associated with each cycle and the vector space over generated by these vectors is the cycle space of the graph. There are directed graphs in which the minimum cycle basis has lower weight than any cycle basis of the underlying undirected graph. Hence algorithms for computing a minimum cycle basis in an undirected graph cannot be used as black boxes to solve the problem in directed graphs.     

Light and electron microscope studies on cysts of sarcocystis fusiformis in the muscles of calves infected experimentally with oocysts and sporocysts of isospora hominis Railliet et Lucet, 1891. 1. The development of cyst and cyst wall (author's transl)

In several experiments young calves were infected with isospora hominis sporocysts excreted by human males who had ingested raw beef containing Sarcocystis fusiformis cysts. On the 29th, 48th, 62nd and 98 day p.i. the calves were killed and the development of S. fusiformis cysts in muscle cells was studied by light and electron microscopy. Beginning with the 48th day p.i. numerous cysts containing small numbers of metrocytes only were observed. The cysts developed from a parasitophorous vacuole within the host cells. At first this parasitophorous vacuole was limited by a single unit membrane, which soon became thickened at numberous places inside of the vacuole by osmiophilic material. This complex is called primary wall (equal to Prim?rhülle), reaching a thickness of up to 32 nm in old cysts. This primary wall became regularly folded. forming palisade-like protrusions. On the 62nd day after inoculation these protrusions measured about 2-3 mum in length and 0.5-0.7 mum in diameter. In light microscopy the combined protrusions had the appearance of a radially striated "thick wall", because of their close proximity to each other.     

Maintaining dynamic sequences under equality tests in polylogarithmic time

We present a randomized and a deterministic data structure for maintaining a dynamic family of sequences under equality tests of pairs of sequences and creations of new sequences by joining or splitting existing sequences. Both data structures support equality tests inO(1) time. The randomized version supports new sequence creations inO(log² n) expected time wheren is the length of the sequence created. The deterministic solution supports sequence creations inO(logn(logmlog^* m+logn)) time for themth operation. This work was supported by the ESPRIT Basic Research Actions Program, under Contract No. 7141 (Project ALCOM II).     

Untersuchungen zur Tautomerie von o,o'-Dihydroxy-azofarbstoffen der Eriochrom-Reihe

Investigations on the Tautomerism of o,o'-Dihydroxy Azo Dyes of the Eriochrome Type Investigation of the u.v.-vis-, ¹H- and ¹³C-n.m.r. spectra of the title substances and the isomers 3 and 3p at different pH-values and in different solvent mixtures as well as of O,O'-dimethyl derivatives of 2 and 3 show that in aqueous solution as well the monoanions as the trianions exist in the azo forms only. The dianions exist in dependence on the solvents as mixtures of tautomers. The results of PPP calculations for different prototropic structures are in good accordance with the experimental results.     

Quantenchemische Untersuchungen zur Molekül- und Elektronenstruktur einfacher Azomethinimine und verwandter Verbindungen

Quantum Chemical Investigations of the Molecular and Electronic Structure of Simple Azomethine Imines and Related Compounds The molecular and electronic structure of simple azomethinimines are investigated by means of MINDO/3 and CNDO/2 calculations. The calculated molecular geometry is compared with X-ray results obtained for these compounds. Except for the NN-bond lengths MINDO/3 satisfactorily describes the molecular structure of azomethinimine and related π-electronic systems. The charges at the atoms along the conjugated chain are alternating as in polymethines. The terminal carbon atom carries a negative charge. This charge brings about an appreciable shielding of this carbon atom such as found in the ¹³C-n.m.r. spectrum. This result does not contradict a stabilization of azomethinimines in the crystal via = CH…︁OC interactions.     

Blood bactericidal activity in calves

Methodical aspects relating to determination of serum-bactericidal capacities were studied, with the view to using them to test the bearing of abiotic environmental factors on defence mechanisms against infections. Communicated are methodical experience by which to enhance the methods used to higher accuracy as well as experience regarding biological variance in calf and results obtained from follow-up checks in which antigens were systematically used. Reference is made also to other methodical issues. The method actually used to determine serum-bactericidal capacity was found to be suitable for an assessment of reactivity of infection defence in calf for its good accuracy. Follow-up checks, using antigens, will enable better assessment of the action of abiotic environmental factors on the complex defence system of calf.