A straightforward method to obtain the cohesive laws of bonded joints under mode I loading

A simple procedure to measure the cohesive laws of bonded joints under mode I loading using the double cantilever beam test is proposed. The method only requires recording the applied load–displacement data and measuring the crack opening displacement at its tip in the course of the experimental test. The strain energy release rate is obtained by a procedure involving the Timoshenko beam theory, the specimen’s compliance and the crack equivalent concept. Following the proposed approach the influence of the fracture process zone is taken into account which is fundamental for an accurate estimation of the failure process details. The cohesive law is obtained by differentiation of the strain energy release rate as a function of the crack opening displacement. The model was validated numerically considering three representative cohesive laws. Numerical simulations using finite element analysis including cohesive zone modeling were performed. The good agreement between the inputted and resulting laws for all the cases considered validates the model. An experimental confirmation was also performed by comparing the numerical and experimental load–displacement curves. The numerical load–displacement curves were obtained by adjusting typical cohesive laws to the ones measured experimentally following the proposed approach and using finite element analysis including cohesive zone modeling. Once again, good agreement was obtained in the comparisons thus demonstrating the good performance of the proposed methodology.

Double power laws, fractals and self-similarity

Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

Double power laws, fractals and self-similarity

Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

Mr. Giles' speech, delivered in the Senate of the United States, on Thursday, 24th November, 1808, on the resolution of Mr. Hillhouse, to repeal the embargo laws. --

Caption title.

By-laws of the municipal council of the United Counties of Lincoln and Welland, 1852

By-laws included are numbers 31-34 and deal with school issues, raising funds for the municipality, payment of fees, and remuneration to the sheriff of the municipality.

By Laws of the Corporation of the Town of Welland, 1878 [fragment]

The fragment appears to be part of a larger group of bylaws for the Town of Welland, 1878. The fragment includes bylaws Cap. I and Cap. II. Cap. I is a bylaw appointing auditors for the town for the year 1878. Due to paper loss only a portion of the title of the Cap. II bylaw is extent but appears to be a bylaw appointing a Hey…….trustee for the town. Welland was incorporated in 1858 as a town and became a city in 1917.

Mr. Giles' speech, delivered in the Senate of the United States, on Thursday, 24th November, 1808, on the resolution of Mr. Hillhouse, to repeal the embargo laws

Printed by Pool and Palfray

Ontario Game and Fishery Laws 1916

A paperback booklet of the Ontario Game and Fishery Laws 1916. The booklet is 91 pages in length and includes an index. See the full text in the Brock University Special Collections and Archives.

By-Laws No. 1 through 11

The by-laws are signed by George Barnes and include the first two which state the name of the company is the Ontario Grape Growing and Wine Manufacturing Company and the second by-law states that the place of business is at Barnesdale, St. Catharines, Ontario.

Constitution and By-Laws of the Citizens' Hose Company

Constitution and By-laws of the Citizens’ Hose Company is a 12 page 14 cm. x 9 ½ cm. booklet. The booklet is slightly discoloured and has had some water damage. This does not affect the text, Aug. 1, 1871.

Long Point Company by-laws together with by-laws as to shooting on Long Point

Long Point Company by-laws together with by-laws as to shooting on Long Point. This is a 9 page printed booklet, 1869. Spectator Printing House, Cor. Main and James Streets.

An act to consolidate and amend the laws for protection of game and fur-bearing animals in Ontario

An act to consolidate and amend the laws for protection of game and fur-bearing animals in Ontario (1 double-sided page of printed material), 1871.

Copy 1 of the Proceedings of the Long Point Company with copy of new by-laws

Copy 1 of the Proceedings of the Long Point Company with copy of new by-laws. This copy (copy 2 is filed with minutes) has a torn back cover and a section cut from the last page. This does affect the text slightly. This is a 14 page printed booklet, June 1874.