For some stacking orientations, the first part of SHPB stress-strain curves is not really linear but it contains aliasing. Is there a standard to determine the dynamic modulus in this case.
No. First of all there is nothing called as a dynamic Modulus. The modulus in SHTB experiments depends upon strain rate. If the material is rate sensitive then you obtain different modulus at different rates. If you can sample it and remove the noise (which might be the cause of aliasing) then perhaps you can linearise it. Try using a step function or wavelet transform. Nevertheless, if you cannot linearise it you cannot obtain modulus.
Laminate modulus under high strain rate loading can be determined on tensile split Hopkinson pressure bar (SHPB) apparatus, compressive SHPB apparatus and torsional split Hopkinson bar (TSHB) apparatus. Modulus is strain rate dependent. Generally, modulus is enhanced at high strain rate compared to that at quasi-static strain rate. High strain rate properties are determined experimentally for different materials and laminate configurations.