There different ASTM standards for tensile and compressive strengths. Some of them are listed below. You may need to describe more details what you are looking for.
-ASTM D 3039, Standard Test Method for Tensile Properties of Polymer Matrix Composite Materials
-ASTM D 638, Standard Test Method for Tensile Properties of Plastics
-ASTM D 1621, Standard Test Method for Compressive Properties Of Rigid Cellular Plastics
-ASTM C 165, Standard Test Method for Measuring Compressive Properties of Thermal Insulations
-ASTM C 1358, Standard Test Method for Monotonic Compressive Strength Testing of Continuous Fiber-Reinforced Advanced Ceramics with Solid Rectangular Cross-section Specimens at Ambient Temperatures
-ASTM D 1633, Standard Test Methods for Compressive Strength of Molded Soil-Cement Cylinders
There different ASTM standards for tensile and compressive strengths. Some of them are listed below. You may need to describe more details what you are looking for.
-ASTM D 3039, Standard Test Method for Tensile Properties of Polymer Matrix Composite Materials
-ASTM D 638, Standard Test Method for Tensile Properties of Plastics
-ASTM D 1621, Standard Test Method for Compressive Properties Of Rigid Cellular Plastics
-ASTM C 165, Standard Test Method for Measuring Compressive Properties of Thermal Insulations
-ASTM C 1358, Standard Test Method for Monotonic Compressive Strength Testing of Continuous Fiber-Reinforced Advanced Ceramics with Solid Rectangular Cross-section Specimens at Ambient Temperatures
-ASTM D 1633, Standard Test Methods for Compressive Strength of Molded Soil-Cement Cylinders