An inhomogeneity problem in couple stress theory

Using Hilbert theory and Mindlin's couple stress theory, the problem of two-dimensional circular inhomogeneity (when the inserted material is of different size than the size of the cavity and having different elastic constants) is studiedin this paper. Stress could be bounded at infinity. The formulation is valid also for regions other then the circular ones when the matrix is finite has also been tackled. Numerical results are in conformity with the fact that the effect of couple stresses is negligible when the ratio of the smallest dimension of the body to the cahracteristic length is large.

Lindley Family Collection 1907-1988

Charts of the various families related to the Lindley family: Lipschitz, Heimann, Edinger, Hochstaedter, Goldschmidt, Jakobson, Braunschweig.

Eugene Katz Collection 1947-1992

Various materials pertaining to the recollections of Eugene (Egon) Katz about his life in the 1920s and 1930s in Barntrup in North Rhine-Westphalia, Germany.

Block-Kaufmann Collection 1885-1931

Ms. Eva Padnick, 1988.

Witten; Jewish Community Collection 1885-1988

Photocopy of handwritten "Urkunde ueber die Geschichte der juedischen Gemeinde zu Witten und den Bau ihres neuen Tempels" (1885) + typed manuscript of same. Photo of interior of Witten synagogue (1935). Press clippings and other documentations on Jewish life in Witten collected by Landschaftsverband Westfalen-Lippe (1988).

Jacob Wiener collection 1897-1988

Manuscripts and articles by Rabbi Dr. Jacob G. Wiener about Jewish communities in Germany.

Ostheimer family collection 1938-

List of family members. Original poem: "Abschied vom Friedhof 10. November 1938." Clipping: "Stammhaus der Familie Ostheimer."

Philipp Erlanger Collection 1877-1962

Biographical articles; letter; photos (58 items)

Guggenheimer Family Collection 1960

Article on charity work by Elinor Guggenheimer; article on Randolph Guggenheimer.

Schulhof Family, Prague Collection.

Family tree of descendents of Rabbi Moses Salman Schulhof in Prague, accompanied by an explanatory letter and photocopies of various publications.

Rosalie Unger Collection 1856-1990

Two letters to Rosalie Unger in Oppeln (today Opole, Poland) from Adolf Heilborn and Berta Neustadt (née Fraenkel); and one letter to Max Neustadt from Leopold Rosenbaum (all photocopies). Also included is an explanatory letter from Harvey P, Newton.

Verein Mekor Chajim Collection 1915-1918

The bulk of the collection consists of circular letters of the Jewish orthodox organization Mekor Chajim in Frankfurt/Main and of issues of ‘Feldbrief der Agudas Jisroel Jugendorganisation’, sent to Jewish soldiers during World War I; 1915-1918

Moses Glueckauf Collection 1844-1861

"Wanderbuch" (journey worker's log) for the weaver Moses Glueckauf, issued in Lengsfeld in 1861; includes rules and regulations for for journeymen in the Grossherzogtum Sachsen-Weimar-Eisenach as well as stamps from several cities where Moses Glueckauf worked.

Ruelfenrod; Jewish Community Collection 1836

Photocopies of documents by Baruch Bilstein and Wolf Levi of Ruelfenrod regarding the Jewish cemetery of Ruelfenrod