Standards
Many states and provinces include stainless steel rebar in their specifications for bridge design & construction.
USA
ASTM A955 is the main Standard for stainless steel rebar in the USA. The fundamental differences are that the profiles and grades (strengths) follow their respective carbon steel standards. ASTM has a corrosion test included. This is manufacturer-specific and not alloy designation specific.
Common US specifications, published by ACI and ASTM, are:
American Concrete Institute: “ACI 318-14 Building Code Requirements for Structural Concrete and Commentary“, ISBN 978-0-87031-930-3 (2014)
ACI 315, Details and Detailing of Concrete Reinforcing
ACI 117, Standard Tolerances for Concrete Construction and Materials
AASHTO M 334M/M 334, Standard Specification for Uncoated, corrosion-Resistant, Deformed and Plain Chromium Alloyed, Billet-Steel Bars for Concrete Reinforcement and Dowels
ASTM A82: Specification for Plain Steel Wire for Concrete Reinforcement
ASTM A184/A184M: Specification for Fabricated Deformed Steel Bar Mats for Concrete Reinforcement
ASTM A185: Specification for Welded Plain Steel Wire Fabric for Concrete Reinforcement
ASTM A496: Specification for Deformed Steel Wire for Concrete Reinforcement
ASTM A497: Specification for Welded Deformed Steel Wire Fabric for Concrete Reinforcement
ASTM A276: Standard Specification for Stainless Steel Bars and Shapes
ASTM A370: Test Methods and Definitions
Concrete Reinforcing Steel Institute, (CRSI), Manual of Standard Practice
ASTM A 615, Specification for Deformed and Plain Billet Steel Bars for Concrete Reinforcement