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2 Polish Maritime Research

2 2010

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Problems of welding in shipbuilding - an analytic-numerical assessment of the thermal cycle in HAZ with three dimensional heat source models in agreement with modelling rules. Part III. Non-linear analytic-numerical assessment of thermal cycle - examples

Ranatowski E.

Polish Maritime Research

2010

nr 3

45-52

This part is continuation of PART II. Analytic solutions for the temperature distribution in HAZ – presented in the previous part of this article are transformed for computer calculation with used Mathcad programme. There are established algorithms in moving and stationary systems for thermal cycle calculating. Finally, a few analytical examples with use of C-I-N and D-E models are demonstrated.

Problems of welding in shipbuilding - an analytic-numerical assessment of the thermal cycle in HAZ with three dimensional heat source models in agreement with modelling rules Part II An analytical assessment of thermal cycle by used C-I-N and D-E heat sources models

Ranatowski Eugeniusz

Polish Maritime Research

2010

nr 2

60--66

This part is continuation of PART I. The basis of this analytic solution are the Fourier - Kirchhoff partial differential equation with appropriated boundary conditions. For a plate with optional thickness, the radiative heat transfer on both surfaces is taken into account. It is assumed that moving C-I-N or D-E heat sources during a very short period of time, generate an impulse of energy inducing an instantaneous thermal field in the plate area and the analytic solution is received by used Fourier transformation. These fields are being continuously summed up to obtain resultant thermal field ... . Finally, the temperature fields generated by C-I-N and D-E heat sources in both stationary and moving co-ordinates systems are established.