A generalized anisotropic quadric yield criterion and its application to bone tissue at multiple length scales

Nonlinear computational analysis of materials showing elasto-plasticity or damage relies on knowledge of their yield behavior and strengths under complex stress states. In this work, a generalized anisotropic quadric yield criterion is proposed that is homogeneous of degree one and takes a convex quadric shape with a smooth transition from ellipsoidal to cylindrical or conical surfaces. If in the case of material identification, the shape of the yield function is not known a priori, a minimization using the quadric criterion will result in the optimal shape among the convex quadrics. The convexity limits of the criterion and the transition points between the different shapes are identified. Several special cases of the criterion for distinct material symmetries such as isotropy, cubic symmetry, fabric-based orthotropy and general orthotropy are presented and discussed. The generality of the formulation is demonstrated by showing its degeneration to several classical yield surfaces like the von Mises, Drucker–Prager, Tsai–Wu, Liu, generalized Hill and classical Hill criteria under appropriate conditions. Applicability of the formulation for micromechanical analyses was shown by transformation of a criterion for porous cohesive-frictional materials by Maghous et al. In order to demonstrate the advantages of the generalized formulation, bone is chosen as an example material, since it features yield envelopes with different shapes depending on the considered length scale. A fabric- and density-based quadric criterion for the description of homogenized material behavior of trabecular bone is identified from uniaxial, multiaxial and torsional experimental data. Also, a fabric- and density-based Tsai–Wu yield criterion for homogenized trabecular bone from in silico data is converted to an equivalent quadric criterion by introduction of a transformation of the interaction parameters. Finally, a quadric yield criterion for lamellar bone at the microscale is identified from a nanoindentation study reported in the literature, thus demonstrating the applicability of the generalized formulation to the description of the yield envelope of bone at multiple length scales.

Targeting Families to Receive Intensive Family Preservation Services: Assessing the Use of Imminent Risk of Placement as a Service Criterion

The process for targeting families to receive intensive family preservation services was examined for 71 child welfare agencies in the United States. The focus of this exploratory/descriptive study was the concept of imminent risk of placement as a criterion for providing services. Findings indicated that agencies had difficulty defining imminent risk and were unable to successfully restrict services to imminent risk cases. Several factors besides imminent risk were identified in relation to the targeting process.

Der Vermälungsfeier des Herrn Israel Ries mit der Demoiselle Philippine Cohn gewidmet

von Caroline Goldschmidt

Development and Criterion Validity of Differentiated and Elevated Vocational Interests in Adolescence

Interest differentiation and elevation are supposed to provide important information about a person’s state of interest development, yet little is known about their development and criterion validity. The present study explored these constructs among a group of Swiss adolescents. Study 1 applied a cross-sectional design with 210 students in 11th grade. Study 2 applied a 1-year longitudinal design with 289 students in 7th to 8th grade. gender, personality traits, and career exploration were significant predictors of state and development of differentiation and elevation. Increase in differentiation predicted increase in career decidedness above traits. elevation could not predict increase in exploration behavior over traits. The results provide support for differentiation and elevation as important aspects of adolescents’ vocational interests.

Familientafel des Rabbiners Dr. Salomon Cohn sel. And.

[Verf.[[Elektronische Ressource]] : Alfred Cohn]

Festreden gehalten beim Festgottesdienst zum 25jährigen Amtsjubiläum des Herrn Rabbiner Dr. Jacob Cohn in Kattowitz, 6. Januar 1897 : Beigeg. ist d. Wortlaut d. d. Jubilar v. d. Gemeindevertretung überreichten Adresse

von [Ferdinand] Rosenthal u. d. Jubilar.

Biographie d'Albert Cohn

par Isidore Loeb

Heinrich Meyer Cohn

Edmund Friedemann

Samson Cohn, christlicher Religion [Rezension]

A. L.

Graf Cohn [Rezension]

G. C.

Arthur Wolfgang Cohn

Th. M.