I have a stress strain plot of a brick with a compressive strength 4 MPa. I also have a brick with compressive strength 10 MPa but no stress strain curve.
In this case it could be possible to "re-build" the average stress-strain curve. But with the due caution. In fact you can only obtain an approximate slope, since it is unknown where yield occurs. Yield occurs when the seconde derivative nullifies on stress-strain curve, and it is a fundamental information to correctly plot the slope.
It actually may be possible to obtain stress-strain curve from the compressive strength depending on the behaviour of the materials. You can look at my paper (attached).
In this article, I first used a nonlinear mathematical model (i.e., modified Ramberg-Osgood equation) to simulate stress-strain behaviour of lightly stabilised granular materials, determined parameters/constants of the model and then developed correlations of these parameters with the compressive strength of the materials. Finally, I have shown few example where I assumed a value of compressive strength, determined the parameters of the model from the compressive strength value using the developed correlations and constructed the stress-strain relationship. Comparisons of the constructed curves with their original curves of same compressive strength were quite well.
Please read the article. I think this is what you are looking for. Good luck......
Article Stress–strain behaviour and stiffness of lightly stabilised ...
Are you looking for the stress strain curve of the actual brick or the brickwork, in conjunction with mortar. The type of mortar used and the organisation of the bonding will have an influence on the results. I have some old papers that I will try to find and upload
What is the application that you need to model or develop? Often Brick is modelled at the level of the macro , taking account of the interaction of the brick with the mortar. The strength of bricks and brickwork is quite dependent on the material used to between bricks, See Hendry's books Structural Brickwork and Structural Masonry
There is many equations for estimate the stress strain of concrete using only compressive strength (Sargin, Carreira and Chu, etc). Elastic modulus and peak strain can be obtained of compressive strain.
A single brick stress-strain curve seems irrelevant. What is the brick for? Usually you should build a wall of masonry, with bricks joined with mortar. The brick walls can be used for load bearing purposes, or seismic resistance system for a building My recommendation would be to focus in the stress-strain relation of the masonry, using prisms for elastic modulus Em, and compressive strength f'm, and square wallets for shear modulus Gm, and shear strength v'm.