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1

Reflection and transmission of plane SH-wave at an interface between two different self-reinforced elastic half-spaces

Chaudhary S., Rani R.

International Journal of Applied Mechanics and Engineering

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2011

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Vol. 16, no 4

977-988

EN

Reflection and transmission of plane SH-waves interacting at an interface between two self-reinforced elastic half-spaces is investigated. The expressions for reflection and transmission coefficients are obtained in a closed from and are computed for different values of non-dimensional self-reinforced elastic parameters and presented graphically. The problem studied by Bullen and Bolt (1985.p.143), when both the self-reinforced elastic solid half-spaces M1 and M2 are isotropic elastic and the SH-wave is made incident at an interface has been reduced as a special case of our problem.

2

Mixed-in-time boundary value problem of heat conduction for a semi-space

Matysiak S., Jewtuszenko A.

Vibrations in Physical Systems

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2006

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Vol. 22

279--283

3

The influence of general surface loading on penetration of a circular punch into an elastic stratum

Rogowski B., Zaręba D.

Engineering Transactions

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1998

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Vol. 46, iss. 2

205-215

EN

The first of the authors (B.R.) derived an expression for the pressure distribution inside a circular region with vanishing shear tractions and normal displacements, due to the application of the forces distributed along the circumference on an elastic transversely isotropic half-space. This results is used to derive the relationships between the forces, moments and indentations for a punch acting on an elastic half-space. The results are given in terms of elementary functionss, The influence of an annular punch encircling a central punch is considered. The stress intensity factor of Mode I related to non-symmetric stress distribution in the vicinity of ann external crack under general surface loading, symmetric with respect to the crack plane, is also presented in terms of elementary functions.

4

On nonexistence of positive solution of a nonlinear Neumann problem in half-space Rn+

Binh D., Diem T., Ruy D., Long T.

Demonstratio Mathematica

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1998

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Vol. 31, nr 4

773-782

5

Minimum weight design of vertically vibrating 3-D machine foundation coupled to layered half-space

Sienkiewicz Z., Wilczyński B.

Computer Assisted Mechanics and Engineering Sciences

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1998

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Vol. 5, nr 4

373-387

EN

Dynamic optimization problem for a machine rigid block foundation on an inhomogeneous soil is considered. The soil deposit under the base of block corresponds to a layer with linearly varying properties overlying a uniform half-space. Furthermore, the block may be surrounded by a backfill. The optimal designs of a vertically excited rectangular block foundation are found by iterative application of a sequential linear programming for a number of rationally inhomogeneous supporting media as well as for a uniform half-space. It illustrates the problem of adequate modelling of the nature of the soil profile and provides an insight into the action of the soil-foundation-machine system from the point of view of the long-term satisfactory performance and safety.