A Nonlinear Problem For A Plane With A Straight Interfacial Crack

828 words - 3 pages

A nonlinear problem for a planewith a straight interfacial crackAbstractThis paper considers the nonlinear plane problem of interfacial crack in a two-plane. On the crack edges normal pressure is applied; hence the direction of the normal and the boundary conditions depend on the deformation. The mechanical properties of nonlinear elastic material are described by the John's material model. Acceptance of the harmonic material model allows to use the theory of complex potentials and to obtain an exact solution of the problem on the entire domain. The results are important for nonlinear theory of elasticityIntroductionThe destruction of materials and structures usually occurs because of formation of cracks and their further development under by the external load. Therefore, investigation of fracture mechanics problems is actual for the all fields of engineering, construction and other industries.The literature review has shown that the nonlinear elasticity problems, in contrast to linear problems, is still poorly investigated. Only several dozen articles are devoted to theoretical analysis of nonlinear problems for domains with an interface crack. Such famous scientists as Knowels, Sternberg, Gao, Ru were engaged in fundamental research in this areaNonlinear problem for a plane with an interface crack is considered in my work. The action of pressure on the edges of crack is of special interest from a practical and theoretical point of view. Acceptance of the harmonic John's material model allows to use the tensor apparatus. This allows to present the material of work in a compact form. The result is a graph of the crack displacements, obtained by both linear and nonlinear theory.A nonlinear problem for a plane with a straight interfacial crackNonlinear problem of plane deformation of the two-plate with a straight interfacial crack is considered (figure 1). Ends of the cracks on the half-line conjugation y =0 correspond to values of x = ± a . Each half of plate has its parameters: the lower half corresponds to the values of the parameters with index 1, and the upper top - to the index of two. Stresses and angles are given at infinity.The equations of equilibrium and equations of compatibility of strains have the form (1).div S = 0, rot G = 0 (1)The boundary conditions are given by (2).s = n S = q, q = p n J G (2)The specifics of the problem is that the load q depends on the strain, although the pressure p is constant. The pressure p is directed along the normal to the surface and...

Find Another Essay On A nonlinear problem for a plane with a straight interfacial crack

Novel and Developed Approximation for Motion of a Spherical Solid Particle in Plane Coquette Fluid Flow

2937 words - 12 pages method-a new nonlinear analytic technique, Appl. Math. Comput. 135 (2003) 73–79. [9] D.D. Ganji, The application of He’s homotopy perturbation method to nonlinear equations arising in heat transfer, Phys. Lett. A 355 (2006) 337–341. [10] S.M. Moghimi, D.D. Ganji, H. Bararnia, M. Hosseinia, M. Jalaal, Homotopy perturbation method for nonlinear MHD Jeffery–Hamel problem, Computers and Mathematics with Applications 61(2011)2213–2216. [11] S.S

Effective Leaders Dealing with a Problem

1354 words - 6 pages Introduction The best leaders are the best problem solvers, leaders when faced by a problem, they take their time to analyze the problem and understand it for them to solve it. Being courageous, optimistic, resilient and open minded are key aspects for effective leadership in solving difficulties. “Leadership is simply the ability to turn a dream or a vision of a desired future state into a reality with and through the cooperation of other

The Problem with Lecturing: A Rhetorical Analysis

1395 words - 6 pages When I first read the title of the article “The Problem with Lecturing” I was immediately drawn to the subject at hand. Being a student who has struggled in the past with the teaching method of lecture classes, I was curious as of what aspect Emily Hanford was going to write about. I was curious to see what appeal she would use to make her point. Would she use ethos, logos, pathos or a combination of all three? And at what point would her

With Every Solution, A New Problem Arises

961 words - 4 pages With Every Solution, A New Problem Arises Alcohol has been consumed since 10000 BC (Hanson 1). However, unlike now, alcohol was sometimes better than drinking water because of waters’ high risk of carrying diseases. Alcohol wasn’t looked at the way it is looked at now. Barrette Seaman, a New York Times editor wrote a book called Binge: What Your College Kid Won’t Tell You, examining college students’ behavior and reports

Prejudice: A Problem With an Unknown Origin

1005 words - 5 pages In the Scottsboro Trail of 1931, nine black teenagers were convicted for rape because of the color of their skin, even with evidence proving them innocent. This case has been used for years as an example of how relevant prejudice has been in America’s history and continuously around the world. Researches have been trying to find the origin of prejudice to try to make a solution for prejudice. There are numerous theories, but the three likely

I Have a Problem With Love

1530 words - 6 pages . I am so inconsiderate but I don't care. When I was little I was perfectly happy just sitting in the grass with a fishin pole. I miss that. Something so perfectly simple as the grass next to a lake with a pole in my hand. Or I could just sit there in the tire swing that my daddy put up in the tree in the back yard. It was so simple then. I am unhappy, and worse then that I care. In Love I hate myself for ruining my relationship with my

Higher order nonclassicalities in a codirectional nonlinear optical coupler: Quantum entanglement, squeezing and antibunching

1312 words - 6 pages properties of optical couplers are studied in past (see [perina-review] for a review). For example, photon statistics, phase properties and squeezing in codirectional and contradirectional Kerr nonlinear coupler are studied with fixed and varying linear coupling constant [Kerr-1, kerr-2, Kerr-3, kerr-4, kerr-5], photon statistics of Raman and Brillouin coupler [Raman and Brilloin] and parametric coupler [parametric] is studied in detail, photon statistics

Discuss Merle Hodge’S Crick Crack Monkey As a Novel

3055 words - 12 pages she is now working for the Women and Development Studies at the University of the West Indies in Trinidad. She wrote the novel Crick Crack Monkey in 1970 where she deals with the theme of childhood in the West Indies. The main protagonist called Tee lives with Tantie who is a working class woman. She later goes to live with her aunt Beatrice and she faces a new and different world from that of her Caribbean world: “Hodge's story is

"Jack: Straight from the Gut" A book review

4934 words - 20 pages I do not think I need to start with a lengthy introduction of Jack Welch. The book is about Welch and we will be discussing him throughout the review. Further, Jack Welch is a famous man - former CEO of one of America's largest corporations, celebrated for his charismatic leadership and novel management theories - though after reading the book, I felt the theories were not so novel as perhaps alien to the American way of doing business at the

It's a Bird, It's a Plane...Nope It's Just a Semi! (Narrative)

775 words - 3 pages a ticket for being so careless and failing to yield for the oncoming traffic, I was very pleased with this. The event that took place that day left me scarred. For a month or so, I did not even want to get into a car let alone drive one. It took a lot for me to do so, but I still felt sick whenever I rode in a car, and light headed whenever I jumped into the driver's seat. I still get that uneasy feeling when I'm driving next to a semi, and I start shaking whenever I pass by the scene of the accident. If it weren't for that truck driver, I would still have my car and I wouldn't be so afraid to drive. I wish people were more careful on the road, don't you?

My Eating Disorder - I Had a Problem with Food

2424 words - 10 pages My Eating Disorder - I Had a Problem with Food Everyone wanted to see me get fat, I was sure of it. For once in my life I had some semblance of control over my body in a way no else did. Managing my body took discipline and I was not going to have anyone interfere. I sat crouched in the small space between my parents’ bathtub and toilet, the cool white ceramic tiles reflecting the blonde of my hair, the tears that somehow managed to eke

Similar Essays

How To Crack A Game Essay

1802 words - 7 pages protection and how to disable movie/sound/music calls in the game exe. WHAT WE NEED TO CRACK Ok before we can start or let us better say before YOU can start to crack you need an disassembler! I use Win32Dasm and i think its the best prog for crack beginner. Then you need Hiew to manipulate the exe you want to crack because with Win32Dasm you can only take a look into the exe but you can`t manipulate anything. Win32Dasm Hiew This two things you must

The Airbus A380: A Revolutionary Plane

2963 words - 12 pages crews, in the short turnaround time that the A380 receives at airports. The plane also features new variable frequency generators, and the plane’s hydraulic power is provided by a 2 systems with a pressure of 5,000 psi. The higher pressure hydraulic system results in a smaller and lighter hydraulic system, with less hydraulic fluid onboard. Also, the plane features a new design for the wings. Interestingly enough, for the A380’s size it is

A Novel Broadly Beam Steerable Parasitic Patch Array Antenna With Ground Plane Reduction Technique

1307 words - 6 pages A five elements reconfigurable beam-steering parasitic patch array antenna is proposed in this letter. For patch-type antenna with parasitic array technique, the achievable beam scanning range is very limited in the range of -30° to +30° from the broadside. Increasing the number of parasitic elements does not provide significant beam scanning improvement where only additional 3° to 5° is achieved. Therefore, this research proposed an

Problem Analysis For A Gym

1298 words - 5 pages , clients crowd the gym therefore raising the demand for the one trainer available to the point where he cannot run the bar and spot the clients promptly enough. How could the clients be spotted and others served at the bar promptly enough during those hours without another trainer?Issues:Potential HazardsThe need for spots cannot be ignored. If clients are not spotted, they can injure themselves severely with the heavy bars and weights. Heavy lifters